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Finding the Fourth Proportional to 631.33, 870.69 and 410.20

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Solution

The fourth proportional to 631.33, 870.69 and 410.20 is: 565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.33 : 870.69 = 410.20 : x
  2. Step 2: Convert to fraction form
    631.33/870.69 = 410.20/x
  3. Step 3: Cross multiply
    631.33x = 870.69 × 410.20
  4. Step 4: Simplify right side
    631.33x = 357,157.04
  5. Step 5: Solve for x
    x = 357,157.04/631.33
  6. Step 6: Final answer
    x = 565.72

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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.