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Finding the Fourth Proportional to 532.88, 798.30 and 416.78

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Solution

The fourth proportional to 532.88, 798.30 and 416.78 is: 624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.88 : 798.30 = 416.78 : x
  2. Step 2: Convert to fraction form
    532.88/798.30 = 416.78/x
  3. Step 3: Cross multiply
    532.88x = 798.30 × 416.78
  4. Step 4: Simplify right side
    532.88x = 332,711.48
  5. Step 5: Solve for x
    x = 332,711.48/532.88
  6. Step 6: Final answer
    x = 624.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.