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Finding the Fourth Proportional to 631.92, 942.63 and 587.37

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Solution

The fourth proportional to 631.92, 942.63 and 587.37 is: 876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.92 : 942.63 = 587.37 : x
  2. Step 2: Convert to fraction form
    631.92/942.63 = 587.37/x
  3. Step 3: Cross multiply
    631.92x = 942.63 × 587.37
  4. Step 4: Simplify right side
    631.92x = 553,672.58
  5. Step 5: Solve for x
    x = 553,672.58/631.92
  6. Step 6: Final answer
    x = 876.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.