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Finding the Fourth Proportional to 631.24, 870.86 and 410.12

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Solution

The fourth proportional to 631.24, 870.86 and 410.12 is: 565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.24 : 870.86 = 410.12 : x
  2. Step 2: Convert to fraction form
    631.24/870.86 = 410.12/x
  3. Step 3: Cross multiply
    631.24x = 870.86 × 410.12
  4. Step 4: Simplify right side
    631.24x = 357,157.10
  5. Step 5: Solve for x
    x = 357,157.10/631.24
  6. Step 6: Final answer
    x = 565.80

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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.