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Finding the Fourth Proportional to 432.24, 646.84 and 372.10

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Solution

The fourth proportional to 432.24, 646.84 and 372.10 is: 556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.24 : 646.84 = 372.10 : x
  2. Step 2: Convert to fraction form
    432.24/646.84 = 372.10/x
  3. Step 3: Cross multiply
    432.24x = 646.84 × 372.10
  4. Step 4: Simplify right side
    432.24x = 240,692.09
  5. Step 5: Solve for x
    x = 240,692.09/432.24
  6. Step 6: Final answer
    x = 556.84

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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.