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Finding the Fourth Proportional to 767.89, 1,148.59 and 709.57

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Solution

The fourth proportional to 767.89, 1,148.59 and 709.57 is: 1,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.89 : 1,148.59 = 709.57 : x
  2. Step 2: Convert to fraction form
    767.89/1,148.59 = 709.57/x
  3. Step 3: Cross multiply
    767.89x = 1,148.59 × 709.57
  4. Step 4: Simplify right side
    767.89x = 815,005.01
  5. Step 5: Solve for x
    x = 815,005.01/767.89
  6. Step 6: Final answer
    x = 1,061.36

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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.