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Finding the Fourth Proportional to 769.92, 1,061.55 and 507.48

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Solution

The fourth proportional to 769.92, 1,061.55 and 507.48 is: 699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.92 : 1,061.55 = 507.48 : x
  2. Step 2: Convert to fraction form
    769.92/1,061.55 = 507.48/x
  3. Step 3: Cross multiply
    769.92x = 1,061.55 × 507.48
  4. Step 4: Simplify right side
    769.92x = 538,715.39
  5. Step 5: Solve for x
    x = 538,715.39/769.92
  6. Step 6: Final answer
    x = 699.70

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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.