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Finding the Fourth Proportional to 432.12, 647.10 and 258.87

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Solution

The fourth proportional to 432.12, 647.10 and 258.87 is: 387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.12 : 647.10 = 258.87 : x
  2. Step 2: Convert to fraction form
    432.12/647.10 = 258.87/x
  3. Step 3: Cross multiply
    432.12x = 647.10 × 258.87
  4. Step 4: Simplify right side
    432.12x = 167,514.78
  5. Step 5: Solve for x
    x = 167,514.78/432.12
  6. Step 6: Final answer
    x = 387.66

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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.