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Finding the Fourth Proportional to 951.16, 1,426.26 and 643

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Solution

The fourth proportional to 951.16, 1,426.26 and 643 is: 964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.16 : 1,426.26 = 643 : x
  2. Step 2: Convert to fraction form
    951.16/1,426.26 = 643/x
  3. Step 3: Cross multiply
    951.16x = 1,426.26 × 643
  4. Step 4: Simplify right side
    951.16x = 917,085.18
  5. Step 5: Solve for x
    x = 917,085.18/951.16
  6. Step 6: Final answer
    x = 964.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.