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Finding the Fourth Proportional to 547.52, 756.12 and 468.38

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Solution

The fourth proportional to 547.52, 756.12 and 468.38 is: 646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.52 : 756.12 = 468.38 : x
  2. Step 2: Convert to fraction form
    547.52/756.12 = 468.38/x
  3. Step 3: Cross multiply
    547.52x = 756.12 × 468.38
  4. Step 4: Simplify right side
    547.52x = 354,147.71
  5. Step 5: Solve for x
    x = 354,147.71/547.52
  6. Step 6: Final answer
    x = 646.83

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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.