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Finding the Fourth Proportional to 676.70, 1,012.65 and 470.30

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Solution

The fourth proportional to 676.70, 1,012.65 and 470.30 is: 703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.70 : 1,012.65 = 470.30 : x
  2. Step 2: Convert to fraction form
    676.70/1,012.65 = 470.30/x
  3. Step 3: Cross multiply
    676.70x = 1,012.65 × 470.30
  4. Step 4: Simplify right side
    676.70x = 476,249.30
  5. Step 5: Solve for x
    x = 476,249.30/676.70
  6. Step 6: Final answer
    x = 703.78

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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.