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Finding the Fourth Proportional to 469.92, 651.20 and 461.28

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Solution

The fourth proportional to 469.92, 651.20 and 461.28 is: 639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.92 : 651.20 = 461.28 : x
  2. Step 2: Convert to fraction form
    469.92/651.20 = 461.28/x
  3. Step 3: Cross multiply
    469.92x = 651.20 × 461.28
  4. Step 4: Simplify right side
    469.92x = 300,385.54
  5. Step 5: Solve for x
    x = 300,385.54/469.92
  6. Step 6: Final answer
    x = 639.23

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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.