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Finding the Fourth Proportional to 521.50, 784.87 and 392.17

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Solution

The fourth proportional to 521.50, 784.87 and 392.17 is: 590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.50 : 784.87 = 392.17 : x
  2. Step 2: Convert to fraction form
    521.50/784.87 = 392.17/x
  3. Step 3: Cross multiply
    521.50x = 784.87 × 392.17
  4. Step 4: Simplify right side
    521.50x = 307,802.47
  5. Step 5: Solve for x
    x = 307,802.47/521.50
  6. Step 6: Final answer
    x = 590.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.