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Finding the Fourth Proportional to 746.82, 1,031.58 and 642.96

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Solution

The fourth proportional to 746.82, 1,031.58 and 642.96 is: 888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.82 : 1,031.58 = 642.96 : x
  2. Step 2: Convert to fraction form
    746.82/1,031.58 = 642.96/x
  3. Step 3: Cross multiply
    746.82x = 1,031.58 × 642.96
  4. Step 4: Simplify right side
    746.82x = 663,264.68
  5. Step 5: Solve for x
    x = 663,264.68/746.82
  6. Step 6: Final answer
    x = 888.12

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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.