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Finding the Fourth Proportional to 951.63, 1,310.52 and 817.77

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Solution

The fourth proportional to 951.63, 1,310.52 and 817.77 is: 1,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.63 : 1,310.52 = 817.77 : x
  2. Step 2: Convert to fraction form
    951.63/1,310.52 = 817.77/x
  3. Step 3: Cross multiply
    951.63x = 1,310.52 × 817.77
  4. Step 4: Simplify right side
    951.63x = 1,071,703.94
  5. Step 5: Solve for x
    x = 1,071,703.94/951.63
  6. Step 6: Final answer
    x = 1,126.18

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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.