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Finding the Fourth Proportional to 1,151.48, 1,588.10 and 836.76

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Solution

The fourth proportional to 1,151.48, 1,588.10 and 836.76 is: 1,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.48 : 1,588.10 = 836.76 : x
  2. Step 2: Convert to fraction form
    1,151.48/1,588.10 = 836.76/x
  3. Step 3: Cross multiply
    1,151.48x = 1,588.10 × 836.76
  4. Step 4: Simplify right side
    1,151.48x = 1,328,858.56
  5. Step 5: Solve for x
    x = 1,328,858.56/1,151.48
  6. Step 6: Final answer
    x = 1,154.04

Related Problems

Find fourth proportional to 575.74, 794.05 and 418.38
Half scale
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Double scale
Find fourth proportional to 1,152.48, 1,589.48 and 837.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.