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Finding the Fourth Proportional to 631.40, 868.74 and 616.82

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Solution

The fourth proportional to 631.40, 868.74 and 616.82 is: 848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.40 : 868.74 = 616.82 : x
  2. Step 2: Convert to fraction form
    631.40/868.74 = 616.82/x
  3. Step 3: Cross multiply
    631.40x = 868.74 × 616.82
  4. Step 4: Simplify right side
    631.40x = 535,856.21
  5. Step 5: Solve for x
    x = 535,856.21/631.40
  6. Step 6: Final answer
    x = 848.68

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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.