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Finding the Fourth Proportional to 758.59, 1,132.08 and 676.57

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Solution

The fourth proportional to 758.59, 1,132.08 and 676.57 is: 1,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.59 : 1,132.08 = 676.57 : x
  2. Step 2: Convert to fraction form
    758.59/1,132.08 = 676.57/x
  3. Step 3: Cross multiply
    758.59x = 1,132.08 × 676.57
  4. Step 4: Simplify right side
    758.59x = 765,931.37
  5. Step 5: Solve for x
    x = 765,931.37/758.59
  6. Step 6: Final answer
    x = 1,009.68

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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.