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Finding the Fourth Proportional to 631.28, 870.50 and 498.27

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Solution

The fourth proportional to 631.28, 870.50 and 498.27 is: 687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.28 : 870.50 = 498.27 : x
  2. Step 2: Convert to fraction form
    631.28/870.50 = 498.27/x
  3. Step 3: Cross multiply
    631.28x = 870.50 × 498.27
  4. Step 4: Simplify right side
    631.28x = 433,741.54
  5. Step 5: Solve for x
    x = 433,741.54/631.28
  6. Step 6: Final answer
    x = 687.09

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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.