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Finding the Fourth Proportional to 929.57, 1,281.11 and 902.91

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Solution

The fourth proportional to 929.57, 1,281.11 and 902.91 is: 1,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.57 : 1,281.11 = 902.91 : x
  2. Step 2: Convert to fraction form
    929.57/1,281.11 = 902.91/x
  3. Step 3: Cross multiply
    929.57x = 1,281.11 × 902.91
  4. Step 4: Simplify right side
    929.57x = 1,156,732.49
  5. Step 5: Solve for x
    x = 1,156,732.49/929.57
  6. Step 6: Final answer
    x = 1,244.38

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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.