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Finding the Fourth Proportional to 434.57, 652.20 and 332.11

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Solution

The fourth proportional to 434.57, 652.20 and 332.11 is: 498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.57 : 652.20 = 332.11 : x
  2. Step 2: Convert to fraction form
    434.57/652.20 = 332.11/x
  3. Step 3: Cross multiply
    434.57x = 652.20 × 332.11
  4. Step 4: Simplify right side
    434.57x = 216,602.14
  5. Step 5: Solve for x
    x = 216,602.14/434.57
  6. Step 6: Final answer
    x = 498.43

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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.