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Finding the Fourth Proportional to 746.96, 1,029.83 and 643.16

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Solution

The fourth proportional to 746.96, 1,029.83 and 643.16 is: 886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.96 : 1,029.83 = 643.16 : x
  2. Step 2: Convert to fraction form
    746.96/1,029.83 = 643.16/x
  3. Step 3: Cross multiply
    746.96x = 1,029.83 × 643.16
  4. Step 4: Simplify right side
    746.96x = 662,337.10
  5. Step 5: Solve for x
    x = 662,337.10/746.96
  6. Step 6: Final answer
    x = 886.72

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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.