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Finding the Fourth Proportional to 593.75, 889.88 and 457.31

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Solution

The fourth proportional to 593.75, 889.88 and 457.31 is: 685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.75 : 889.88 = 457.31 : x
  2. Step 2: Convert to fraction form
    593.75/889.88 = 457.31/x
  3. Step 3: Cross multiply
    593.75x = 889.88 × 457.31
  4. Step 4: Simplify right side
    593.75x = 406,944.29
  5. Step 5: Solve for x
    x = 406,944.29/593.75
  6. Step 6: Final answer
    x = 685.39

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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.