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Finding the Fourth Proportional to 678.70, 937.07 and 632.19

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Solution

The fourth proportional to 678.70, 937.07 and 632.19 is: 872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.70 : 937.07 = 632.19 : x
  2. Step 2: Convert to fraction form
    678.70/937.07 = 632.19/x
  3. Step 3: Cross multiply
    678.70x = 937.07 × 632.19
  4. Step 4: Simplify right side
    678.70x = 592,409.01
  5. Step 5: Solve for x
    x = 592,409.01/678.70
  6. Step 6: Final answer
    x = 872.86

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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.