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Finding the Fourth Proportional to 832.55, 1,248.89 and 543.38

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Solution

The fourth proportional to 832.55, 1,248.89 and 543.38 is: 815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.55 : 1,248.89 = 543.38 : x
  2. Step 2: Convert to fraction form
    832.55/1,248.89 = 543.38/x
  3. Step 3: Cross multiply
    832.55x = 1,248.89 × 543.38
  4. Step 4: Simplify right side
    832.55x = 678,612.89
  5. Step 5: Solve for x
    x = 678,612.89/832.55
  6. Step 6: Final answer
    x = 815.11

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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.