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Finding the Fourth Proportional to 676.76, 1,013.45 and 495.32

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Solution

The fourth proportional to 676.76, 1,013.45 and 495.32 is: 741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.76 : 1,013.45 = 495.32 : x
  2. Step 2: Convert to fraction form
    676.76/1,013.45 = 495.32/x
  3. Step 3: Cross multiply
    676.76x = 1,013.45 × 495.32
  4. Step 4: Simplify right side
    676.76x = 501,974.51
  5. Step 5: Solve for x
    x = 501,974.51/676.76
  6. Step 6: Final answer
    x = 741.74

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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.