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Finding the Fourth Proportional to 593.64, 819.06 and 407.18

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Solution

The fourth proportional to 593.64, 819.06 and 407.18 is: 561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.64 : 819.06 = 407.18 : x
  2. Step 2: Convert to fraction form
    593.64/819.06 = 407.18/x
  3. Step 3: Cross multiply
    593.64x = 819.06 × 407.18
  4. Step 4: Simplify right side
    593.64x = 333,505.10
  5. Step 5: Solve for x
    x = 333,505.10/593.64
  6. Step 6: Final answer
    x = 561.79

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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.