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Finding the Fourth Proportional to 676.95, 1,017.59 and 648.15

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Solution

The fourth proportional to 676.95, 1,017.59 and 648.15 is: 974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.95 : 1,017.59 = 648.15 : x
  2. Step 2: Convert to fraction form
    676.95/1,017.59 = 648.15/x
  3. Step 3: Cross multiply
    676.95x = 1,017.59 × 648.15
  4. Step 4: Simplify right side
    676.95x = 659,547.72
  5. Step 5: Solve for x
    x = 659,547.72/676.95
  6. Step 6: Final answer
    x = 974.29

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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.