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Finding the Fourth Proportional to 769.24, 1,061.10 and 493.24

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Solution

The fourth proportional to 769.24, 1,061.10 and 493.24 is: 680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.24 : 1,061.10 = 493.24 : x
  2. Step 2: Convert to fraction form
    769.24/1,061.10 = 493.24/x
  3. Step 3: Cross multiply
    769.24x = 1,061.10 × 493.24
  4. Step 4: Simplify right side
    769.24x = 523,376.96
  5. Step 5: Solve for x
    x = 523,376.96/769.24
  6. Step 6: Final answer
    x = 680.38

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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.