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Finding the Fourth Proportional to 630.55, 870.35 and 409.52

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Solution

The fourth proportional to 630.55, 870.35 and 409.52 is: 565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.55 : 870.35 = 409.52 : x
  2. Step 2: Convert to fraction form
    630.55/870.35 = 409.52/x
  3. Step 3: Cross multiply
    630.55x = 870.35 × 409.52
  4. Step 4: Simplify right side
    630.55x = 356,425.73
  5. Step 5: Solve for x
    x = 356,425.73/630.55
  6. Step 6: Final answer
    x = 565.26

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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.