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Finding the Fourth Proportional to 710.92, 1,071.34 and 658

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Solution

The fourth proportional to 710.92, 1,071.34 and 658 is: 991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.92 : 1,071.34 = 658 : x
  2. Step 2: Convert to fraction form
    710.92/1,071.34 = 658/x
  3. Step 3: Cross multiply
    710.92x = 1,071.34 × 658
  4. Step 4: Simplify right side
    710.92x = 704,941.72
  5. Step 5: Solve for x
    x = 704,941.72/710.92
  6. Step 6: Final answer
    x = 991.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.