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Finding the Fourth Proportional to 835.96, 1,153.17 and 678.76

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Solution

The fourth proportional to 835.96, 1,153.17 and 678.76 is: 936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.96 : 1,153.17 = 678.76 : x
  2. Step 2: Convert to fraction form
    835.96/1,153.17 = 678.76/x
  3. Step 3: Cross multiply
    835.96x = 1,153.17 × 678.76
  4. Step 4: Simplify right side
    835.96x = 782,719.90
  5. Step 5: Solve for x
    x = 782,719.90/835.96
  6. Step 6: Final answer
    x = 936.32

Related Problems

Find fourth proportional to 417.98, 576.59 and 339.38
Half scale
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Double scale
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Similar ratio
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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.