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Finding the Fourth Proportional to 709.77, 1,058.28 and 682.70

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Solution

The fourth proportional to 709.77, 1,058.28 and 682.70 is: 1,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.77 : 1,058.28 = 682.70 : x
  2. Step 2: Convert to fraction form
    709.77/1,058.28 = 682.70/x
  3. Step 3: Cross multiply
    709.77x = 1,058.28 × 682.70
  4. Step 4: Simplify right side
    709.77x = 722,484.34
  5. Step 5: Solve for x
    x = 722,484.34/709.77
  6. Step 6: Final answer
    x = 1,017.91

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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.