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Finding the Fourth Proportional to 678.44, 937.96 and 531.02

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Solution

The fourth proportional to 678.44, 937.96 and 531.02 is: 734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.44 : 937.96 = 531.02 : x
  2. Step 2: Convert to fraction form
    678.44/937.96 = 531.02/x
  3. Step 3: Cross multiply
    678.44x = 937.96 × 531.02
  4. Step 4: Simplify right side
    678.44x = 498,069.50
  5. Step 5: Solve for x
    x = 498,069.50/678.44
  6. Step 6: Final answer
    x = 734.14

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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.