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Finding the Fourth Proportional to 478.16, 663.14 and 461.72

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Solution

The fourth proportional to 478.16, 663.14 and 461.72 is: 640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.16 : 663.14 = 461.72 : x
  2. Step 2: Convert to fraction form
    478.16/663.14 = 461.72/x
  3. Step 3: Cross multiply
    478.16x = 663.14 × 461.72
  4. Step 4: Simplify right side
    478.16x = 306,185.00
  5. Step 5: Solve for x
    x = 306,185.00/478.16
  6. Step 6: Final answer
    x = 640.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.