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Finding the Fourth Proportional to 532.20, 735 and 415.59

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Solution

The fourth proportional to 532.20, 735 and 415.59 is: 573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.20 : 735 = 415.59 : x
  2. Step 2: Convert to fraction form
    532.20/735 = 415.59/x
  3. Step 3: Cross multiply
    532.20x = 735 × 415.59
  4. Step 4: Simplify right side
    532.20x = 305,458.65
  5. Step 5: Solve for x
    x = 305,458.65/532.20
  6. Step 6: Final answer
    x = 573.95

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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.