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Finding the Fourth Proportional to 630.91, 870.78 and 410.05

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Solution

The fourth proportional to 630.91, 870.78 and 410.05 is: 565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.91 : 870.78 = 410.05 : x
  2. Step 2: Convert to fraction form
    630.91/870.78 = 410.05/x
  3. Step 3: Cross multiply
    630.91x = 870.78 × 410.05
  4. Step 4: Simplify right side
    630.91x = 357,063.34
  5. Step 5: Solve for x
    x = 357,063.34/630.91
  6. Step 6: Final answer
    x = 565.95

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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.