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Finding the Fourth Proportional to 790.77, 1,091.46 and 542.19

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Solution

The fourth proportional to 790.77, 1,091.46 and 542.19 is: 748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.77 : 1,091.46 = 542.19 : x
  2. Step 2: Convert to fraction form
    790.77/1,091.46 = 542.19/x
  3. Step 3: Cross multiply
    790.77x = 1,091.46 × 542.19
  4. Step 4: Simplify right side
    790.77x = 591,778.70
  5. Step 5: Solve for x
    x = 591,778.70/790.77
  6. Step 6: Final answer
    x = 748.36

Related Problems

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Half scale
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Double scale
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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.