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Finding the Fourth Proportional to 676.83, 1,015.57 and 665.91

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Solution

The fourth proportional to 676.83, 1,015.57 and 665.91 is: 999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.83 : 1,015.57 = 665.91 : x
  2. Step 2: Convert to fraction form
    676.83/1,015.57 = 665.91/x
  3. Step 3: Cross multiply
    676.83x = 1,015.57 × 665.91
  4. Step 4: Simplify right side
    676.83x = 676,278.22
  5. Step 5: Solve for x
    x = 676,278.22/676.83
  6. Step 6: Final answer
    x = 999.18

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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.