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Finding the Fourth Proportional to 781.56, 1,170.45 and 597.56

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Solution

The fourth proportional to 781.56, 1,170.45 and 597.56 is: 894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.56 : 1,170.45 = 597.56 : x
  2. Step 2: Convert to fraction form
    781.56/1,170.45 = 597.56/x
  3. Step 3: Cross multiply
    781.56x = 1,170.45 × 597.56
  4. Step 4: Simplify right side
    781.56x = 699,408.25
  5. Step 5: Solve for x
    x = 699,408.25/781.56
  6. Step 6: Final answer
    x = 894.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.