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Finding the Fourth Proportional to 781.86, 1,167.70 and 708.58

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Solution

The fourth proportional to 781.86, 1,167.70 and 708.58 is: 1,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.86 : 1,167.70 = 708.58 : x
  2. Step 2: Convert to fraction form
    781.86/1,167.70 = 708.58/x
  3. Step 3: Cross multiply
    781.86x = 1,167.70 × 708.58
  4. Step 4: Simplify right side
    781.86x = 827,408.87
  5. Step 5: Solve for x
    x = 827,408.87/781.86
  6. Step 6: Final answer
    x = 1,058.26

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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.