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Finding the Fourth Proportional to 544.95, 747.32 and 524.70

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Solution

The fourth proportional to 544.95, 747.32 and 524.70 is: 719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.95 : 747.32 = 524.70 : x
  2. Step 2: Convert to fraction form
    544.95/747.32 = 524.70/x
  3. Step 3: Cross multiply
    544.95x = 747.32 × 524.70
  4. Step 4: Simplify right side
    544.95x = 392,116.18
  5. Step 5: Solve for x
    x = 392,116.18/544.95
  6. Step 6: Final answer
    x = 719.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.