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Finding the Fourth Proportional to 585.20, 807.36 and 364.16

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Solution

The fourth proportional to 585.20, 807.36 and 364.16 is: 502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.20 : 807.36 = 364.16 : x
  2. Step 2: Convert to fraction form
    585.20/807.36 = 364.16/x
  3. Step 3: Cross multiply
    585.20x = 807.36 × 364.16
  4. Step 4: Simplify right side
    585.20x = 294,008.22
  5. Step 5: Solve for x
    x = 294,008.22/585.20
  6. Step 6: Final answer
    x = 502.41

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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.