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Finding the Fourth Proportional to 676.49, 1,013.54 and 470.66

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Solution

The fourth proportional to 676.49, 1,013.54 and 470.66 is: 705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.49 : 1,013.54 = 470.66 : x
  2. Step 2: Convert to fraction form
    676.49/1,013.54 = 470.66/x
  3. Step 3: Cross multiply
    676.49x = 1,013.54 × 470.66
  4. Step 4: Simplify right side
    676.49x = 477,032.34
  5. Step 5: Solve for x
    x = 477,032.34/676.49
  6. Step 6: Final answer
    x = 705.16

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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.