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Finding the Fourth Proportional to 699.74, 1,046.40 and 515.20

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Solution

The fourth proportional to 699.74, 1,046.40 and 515.20 is: 770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.74 : 1,046.40 = 515.20 : x
  2. Step 2: Convert to fraction form
    699.74/1,046.40 = 515.20/x
  3. Step 3: Cross multiply
    699.74x = 1,046.40 × 515.20
  4. Step 4: Simplify right side
    699.74x = 539,105.28
  5. Step 5: Solve for x
    x = 539,105.28/699.74
  6. Step 6: Final answer
    x = 770.44

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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.