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Finding the Fourth Proportional to 593.59, 817.80 and 469.21

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Solution

The fourth proportional to 593.59, 817.80 and 469.21 is: 646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.59 : 817.80 = 469.21 : x
  2. Step 2: Convert to fraction form
    593.59/817.80 = 469.21/x
  3. Step 3: Cross multiply
    593.59x = 817.80 × 469.21
  4. Step 4: Simplify right side
    593.59x = 383,719.94
  5. Step 5: Solve for x
    x = 383,719.94/593.59
  6. Step 6: Final answer
    x = 646.44

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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.