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Finding the Fourth Proportional to 477, 656.40 and 461.16

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Solution

The fourth proportional to 477, 656.40 and 461.16 is: 634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 656.40 = 461.16 : x
  2. Step 2: Convert to fraction form
    477/656.40 = 461.16/x
  3. Step 3: Cross multiply
    477x = 656.40 × 461.16
  4. Step 4: Simplify right side
    477x = 302,705.42
  5. Step 5: Solve for x
    x = 302,705.42/477
  6. Step 6: Final answer
    x = 634.60

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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.