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Finding the Fourth Proportional to 630.52, 870.36 and 409.48

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Solution

The fourth proportional to 630.52, 870.36 and 409.48 is: 565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.52 : 870.36 = 409.48 : x
  2. Step 2: Convert to fraction form
    630.52/870.36 = 409.48/x
  3. Step 3: Cross multiply
    630.52x = 870.36 × 409.48
  4. Step 4: Simplify right side
    630.52x = 356,395.01
  5. Step 5: Solve for x
    x = 356,395.01/630.52
  6. Step 6: Final answer
    x = 565.24

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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.