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Finding the Fourth Proportional to 832.53, 1,245.54 and 557.31

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Solution

The fourth proportional to 832.53, 1,245.54 and 557.31 is: 833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.53 : 1,245.54 = 557.31 : x
  2. Step 2: Convert to fraction form
    832.53/1,245.54 = 557.31/x
  3. Step 3: Cross multiply
    832.53x = 1,245.54 × 557.31
  4. Step 4: Simplify right side
    832.53x = 694,151.90
  5. Step 5: Solve for x
    x = 694,151.90/832.53
  6. Step 6: Final answer
    x = 833.79

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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.