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Finding the Fourth Proportional to 515.46, 769.65 and 424.32

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Solution

The fourth proportional to 515.46, 769.65 and 424.32 is: 633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.46 : 769.65 = 424.32 : x
  2. Step 2: Convert to fraction form
    515.46/769.65 = 424.32/x
  3. Step 3: Cross multiply
    515.46x = 769.65 × 424.32
  4. Step 4: Simplify right side
    515.46x = 326,577.89
  5. Step 5: Solve for x
    x = 326,577.89/515.46
  6. Step 6: Final answer
    x = 633.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.