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Finding the Fourth Proportional to 984.38, 1,473.15 and 695.30

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Solution

The fourth proportional to 984.38, 1,473.15 and 695.30 is: 1,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.38 : 1,473.15 = 695.30 : x
  2. Step 2: Convert to fraction form
    984.38/1,473.15 = 695.30/x
  3. Step 3: Cross multiply
    984.38x = 1,473.15 × 695.30
  4. Step 4: Simplify right side
    984.38x = 1,024,281.20
  5. Step 5: Solve for x
    x = 1,024,281.20/984.38
  6. Step 6: Final answer
    x = 1,040.53

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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.