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Finding the Fourth Proportional to 710.38, 1,058 and 665.38

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Solution

The fourth proportional to 710.38, 1,058 and 665.38 is: 990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.38 : 1,058 = 665.38 : x
  2. Step 2: Convert to fraction form
    710.38/1,058 = 665.38/x
  3. Step 3: Cross multiply
    710.38x = 1,058 × 665.38
  4. Step 4: Simplify right side
    710.38x = 703,972.04
  5. Step 5: Solve for x
    x = 703,972.04/710.38
  6. Step 6: Final answer
    x = 990.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.