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Finding the Fourth Proportional to 435.80, 652.87 and 417.27

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Solution

The fourth proportional to 435.80, 652.87 and 417.27 is: 625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.80 : 652.87 = 417.27 : x
  2. Step 2: Convert to fraction form
    435.80/652.87 = 417.27/x
  3. Step 3: Cross multiply
    435.80x = 652.87 × 417.27
  4. Step 4: Simplify right side
    435.80x = 272,426.03
  5. Step 5: Solve for x
    x = 272,426.03/435.80
  6. Step 6: Final answer
    x = 625.11

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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.