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Finding the Fourth Proportional to 585, 807.12 and 363.96

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Solution

The fourth proportional to 585, 807.12 and 363.96 is: 502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585 : 807.12 = 363.96 : x
  2. Step 2: Convert to fraction form
    585/807.12 = 363.96/x
  3. Step 3: Cross multiply
    585x = 807.12 × 363.96
  4. Step 4: Simplify right side
    585x = 293,759.40
  5. Step 5: Solve for x
    x = 293,759.40/585
  6. Step 6: Final answer
    x = 502.15

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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.