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Finding the Fourth Proportional to 676.59, 1,013.94 and 632.22

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Solution

The fourth proportional to 676.59, 1,013.94 and 632.22 is: 947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.59 : 1,013.94 = 632.22 : x
  2. Step 2: Convert to fraction form
    676.59/1,013.94 = 632.22/x
  3. Step 3: Cross multiply
    676.59x = 1,013.94 × 632.22
  4. Step 4: Simplify right side
    676.59x = 641,033.15
  5. Step 5: Solve for x
    x = 641,033.15/676.59
  6. Step 6: Final answer
    x = 947.45

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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.