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Finding the Fourth Proportional to 875.11, 1,207.38 and 539.14

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Solution

The fourth proportional to 875.11, 1,207.38 and 539.14 is: 743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.11 : 1,207.38 = 539.14 : x
  2. Step 2: Convert to fraction form
    875.11/1,207.38 = 539.14/x
  3. Step 3: Cross multiply
    875.11x = 1,207.38 × 539.14
  4. Step 4: Simplify right side
    875.11x = 650,946.85
  5. Step 5: Solve for x
    x = 650,946.85/875.11
  6. Step 6: Final answer
    x = 743.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.