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Finding the Fourth Proportional to 547.80, 756.59 and 424.95

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Solution

The fourth proportional to 547.80, 756.59 and 424.95 is: 586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.80 : 756.59 = 424.95 : x
  2. Step 2: Convert to fraction form
    547.80/756.59 = 424.95/x
  3. Step 3: Cross multiply
    547.80x = 756.59 × 424.95
  4. Step 4: Simplify right side
    547.80x = 321,512.92
  5. Step 5: Solve for x
    x = 321,512.92/547.80
  6. Step 6: Final answer
    x = 586.92

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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.