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Finding the Fourth Proportional to 515.72, 772.65 and 268.62

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Solution

The fourth proportional to 515.72, 772.65 and 268.62 is: 402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.72 : 772.65 = 268.62 : x
  2. Step 2: Convert to fraction form
    515.72/772.65 = 268.62/x
  3. Step 3: Cross multiply
    515.72x = 772.65 × 268.62
  4. Step 4: Simplify right side
    515.72x = 207,549.24
  5. Step 5: Solve for x
    x = 207,549.24/515.72
  6. Step 6: Final answer
    x = 402.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.