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Finding the Fourth Proportional to 696.48, 1,042.11 and 491.45

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Solution

The fourth proportional to 696.48, 1,042.11 and 491.45 is: 735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.48 : 1,042.11 = 491.45 : x
  2. Step 2: Convert to fraction form
    696.48/1,042.11 = 491.45/x
  3. Step 3: Cross multiply
    696.48x = 1,042.11 × 491.45
  4. Step 4: Simplify right side
    696.48x = 512,139.75
  5. Step 5: Solve for x
    x = 512,139.75/696.48
  6. Step 6: Final answer
    x = 735.33

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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.