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Finding the Fourth Proportional to 631.50, 870.91 and 410.24

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Solution

The fourth proportional to 631.50, 870.91 and 410.24 is: 565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.50 : 870.91 = 410.24 : x
  2. Step 2: Convert to fraction form
    631.50/870.91 = 410.24/x
  3. Step 3: Cross multiply
    631.50x = 870.91 × 410.24
  4. Step 4: Simplify right side
    631.50x = 357,282.12
  5. Step 5: Solve for x
    x = 357,282.12/631.50
  6. Step 6: Final answer
    x = 565.77

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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.