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Finding the Fourth Proportional to 543.70, 747.92 and 455.14

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Solution

The fourth proportional to 543.70, 747.92 and 455.14 is: 626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.70 : 747.92 = 455.14 : x
  2. Step 2: Convert to fraction form
    543.70/747.92 = 455.14/x
  3. Step 3: Cross multiply
    543.70x = 747.92 × 455.14
  4. Step 4: Simplify right side
    543.70x = 340,408.31
  5. Step 5: Solve for x
    x = 340,408.31/543.70
  6. Step 6: Final answer
    x = 626.10

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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.