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Finding the Fourth Proportional to 762.58, 1,052.20 and 539.18

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Solution

The fourth proportional to 762.58, 1,052.20 and 539.18 is: 743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.58 : 1,052.20 = 539.18 : x
  2. Step 2: Convert to fraction form
    762.58/1,052.20 = 539.18/x
  3. Step 3: Cross multiply
    762.58x = 1,052.20 × 539.18
  4. Step 4: Simplify right side
    762.58x = 567,325.20
  5. Step 5: Solve for x
    x = 567,325.20/762.58
  6. Step 6: Final answer
    x = 743.95

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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.