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Finding the Fourth Proportional to 593.68, 891.60 and 457.06

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Solution

The fourth proportional to 593.68, 891.60 and 457.06 is: 686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.68 : 891.60 = 457.06 : x
  2. Step 2: Convert to fraction form
    593.68/891.60 = 457.06/x
  3. Step 3: Cross multiply
    593.68x = 891.60 × 457.06
  4. Step 4: Simplify right side
    593.68x = 407,514.70
  5. Step 5: Solve for x
    x = 407,514.70/593.68
  6. Step 6: Final answer
    x = 686.42

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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.