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Finding the Fourth Proportional to 547.80, 825.36 and 474.90

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Solution

The fourth proportional to 547.80, 825.36 and 474.90 is: 715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.80 : 825.36 = 474.90 : x
  2. Step 2: Convert to fraction form
    547.80/825.36 = 474.90/x
  3. Step 3: Cross multiply
    547.80x = 825.36 × 474.90
  4. Step 4: Simplify right side
    547.80x = 391,963.46
  5. Step 5: Solve for x
    x = 391,963.46/547.80
  6. Step 6: Final answer
    x = 715.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.