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Finding the Fourth Proportional to 631.06, 869.40 and 601.90

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Solution

The fourth proportional to 631.06, 869.40 and 601.90 is: 829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.06 : 869.40 = 601.90 : x
  2. Step 2: Convert to fraction form
    631.06/869.40 = 601.90/x
  3. Step 3: Cross multiply
    631.06x = 869.40 × 601.90
  4. Step 4: Simplify right side
    631.06x = 523,291.86
  5. Step 5: Solve for x
    x = 523,291.86/631.06
  6. Step 6: Final answer
    x = 829.23

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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.