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Finding the Fourth Proportional to 1,118.34, 1,676.97 and 468.72

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Solution

The fourth proportional to 1,118.34, 1,676.97 and 468.72 is: 702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.34 : 1,676.97 = 468.72 : x
  2. Step 2: Convert to fraction form
    1,118.34/1,676.97 = 468.72/x
  3. Step 3: Cross multiply
    1,118.34x = 1,676.97 × 468.72
  4. Step 4: Simplify right side
    1,118.34x = 786,029.38
  5. Step 5: Solve for x
    x = 786,029.38/1,118.34
  6. Step 6: Final answer
    x = 702.85

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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.