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Finding the Fourth Proportional to 676.03, 1,007.12 and 651.24

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Solution

The fourth proportional to 676.03, 1,007.12 and 651.24 is: 970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.03 : 1,007.12 = 651.24 : x
  2. Step 2: Convert to fraction form
    676.03/1,007.12 = 651.24/x
  3. Step 3: Cross multiply
    676.03x = 1,007.12 × 651.24
  4. Step 4: Simplify right side
    676.03x = 655,874.79
  5. Step 5: Solve for x
    x = 655,874.79/676.03
  6. Step 6: Final answer
    x = 970.19

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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.