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Finding the Fourth Proportional to 951.66, 1,420.12 and 842.32

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Solution

The fourth proportional to 951.66, 1,420.12 and 842.32 is: 1,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.66 : 1,420.12 = 842.32 : x
  2. Step 2: Convert to fraction form
    951.66/1,420.12 = 842.32/x
  3. Step 3: Cross multiply
    951.66x = 1,420.12 × 842.32
  4. Step 4: Simplify right side
    951.66x = 1,196,195.48
  5. Step 5: Solve for x
    x = 1,196,195.48/951.66
  6. Step 6: Final answer
    x = 1,256.96

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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.