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Finding the Fourth Proportional to 593.78, 890.30 and 431.60

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Solution

The fourth proportional to 593.78, 890.30 and 431.60 is: 647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.78 : 890.30 = 431.60 : x
  2. Step 2: Convert to fraction form
    593.78/890.30 = 431.60/x
  3. Step 3: Cross multiply
    593.78x = 890.30 × 431.60
  4. Step 4: Simplify right side
    593.78x = 384,253.48
  5. Step 5: Solve for x
    x = 384,253.48/593.78
  6. Step 6: Final answer
    x = 647.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.