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Finding the Fourth Proportional to 559.28, 772.08 and 461.60

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Solution

The fourth proportional to 559.28, 772.08 and 461.60 is: 637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.28 : 772.08 = 461.60 : x
  2. Step 2: Convert to fraction form
    559.28/772.08 = 461.60/x
  3. Step 3: Cross multiply
    559.28x = 772.08 × 461.60
  4. Step 4: Simplify right side
    559.28x = 356,392.13
  5. Step 5: Solve for x
    x = 356,392.13/559.28
  6. Step 6: Final answer
    x = 637.23

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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.