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Finding the Fourth Proportional to 952.32, 1,434.88 and 861.12

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Solution

The fourth proportional to 952.32, 1,434.88 and 861.12 is: 1,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.32 : 1,434.88 = 861.12 : x
  2. Step 2: Convert to fraction form
    952.32/1,434.88 = 861.12/x
  3. Step 3: Cross multiply
    952.32x = 1,434.88 × 861.12
  4. Step 4: Simplify right side
    952.32x = 1,235,603.87
  5. Step 5: Solve for x
    x = 1,235,603.87/952.32
  6. Step 6: Final answer
    x = 1,297.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.