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Finding the Fourth Proportional to 676.34, 1,012.28 and 478.29

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Solution

The fourth proportional to 676.34, 1,012.28 and 478.29 is: 715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.34 : 1,012.28 = 478.29 : x
  2. Step 2: Convert to fraction form
    676.34/1,012.28 = 478.29/x
  3. Step 3: Cross multiply
    676.34x = 1,012.28 × 478.29
  4. Step 4: Simplify right side
    676.34x = 484,161.01
  5. Step 5: Solve for x
    x = 484,161.01/676.34
  6. Step 6: Final answer
    x = 715.86

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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.