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Finding the Fourth Proportional to 676.19, 1,013.48 and 480.98

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Solution

The fourth proportional to 676.19, 1,013.48 and 480.98 is: 720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.19 : 1,013.48 = 480.98 : x
  2. Step 2: Convert to fraction form
    676.19/1,013.48 = 480.98/x
  3. Step 3: Cross multiply
    676.19x = 1,013.48 × 480.98
  4. Step 4: Simplify right side
    676.19x = 487,461.21
  5. Step 5: Solve for x
    x = 487,461.21/676.19
  6. Step 6: Final answer
    x = 720.89

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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.