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Finding the Fourth Proportional to 676.35, 1,009.06 and 615.80

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Solution

The fourth proportional to 676.35, 1,009.06 and 615.80 is: 918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.35 : 1,009.06 = 615.80 : x
  2. Step 2: Convert to fraction form
    676.35/1,009.06 = 615.80/x
  3. Step 3: Cross multiply
    676.35x = 1,009.06 × 615.80
  4. Step 4: Simplify right side
    676.35x = 621,380.13
  5. Step 5: Solve for x
    x = 621,380.13/676.35
  6. Step 6: Final answer
    x = 918.73

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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.