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Finding the Fourth Proportional to 469.61, 642.30 and 462.05

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Solution

The fourth proportional to 469.61, 642.30 and 462.05 is: 631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.61 : 642.30 = 462.05 : x
  2. Step 2: Convert to fraction form
    469.61/642.30 = 462.05/x
  3. Step 3: Cross multiply
    469.61x = 642.30 × 462.05
  4. Step 4: Simplify right side
    469.61x = 296,773.24
  5. Step 5: Solve for x
    x = 296,773.24/469.61
  6. Step 6: Final answer
    x = 631.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.