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Finding the Fourth Proportional to 962.32, 1,434.41 and 857.65

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Solution

The fourth proportional to 962.32, 1,434.41 and 857.65 is: 1,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.32 : 1,434.41 = 857.65 : x
  2. Step 2: Convert to fraction form
    962.32/1,434.41 = 857.65/x
  3. Step 3: Cross multiply
    962.32x = 1,434.41 × 857.65
  4. Step 4: Simplify right side
    962.32x = 1,230,221.74
  5. Step 5: Solve for x
    x = 1,230,221.74/962.32
  6. Step 6: Final answer
    x = 1,278.39

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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.