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Finding the Fourth Proportional to 478.98, 661.48 and 462.89

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Solution

The fourth proportional to 478.98, 661.48 and 462.89 is: 639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.98 : 661.48 = 462.89 : x
  2. Step 2: Convert to fraction form
    478.98/661.48 = 462.89/x
  3. Step 3: Cross multiply
    478.98x = 661.48 × 462.89
  4. Step 4: Simplify right side
    478.98x = 306,192.97
  5. Step 5: Solve for x
    x = 306,192.97/478.98
  6. Step 6: Final answer
    x = 639.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.