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Finding the Fourth Proportional to 832.07, 1,246.48 and 542.63

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Solution

The fourth proportional to 832.07, 1,246.48 and 542.63 is: 812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.07 : 1,246.48 = 542.63 : x
  2. Step 2: Convert to fraction form
    832.07/1,246.48 = 542.63/x
  3. Step 3: Cross multiply
    832.07x = 1,246.48 × 542.63
  4. Step 4: Simplify right side
    832.07x = 676,369.85
  5. Step 5: Solve for x
    x = 676,369.85/832.07
  6. Step 6: Final answer
    x = 812.88

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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.