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Finding the Fourth Proportional to 982.85, 1,475.15 and 463.14

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Solution

The fourth proportional to 982.85, 1,475.15 and 463.14 is: 695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.85 : 1,475.15 = 463.14 : x
  2. Step 2: Convert to fraction form
    982.85/1,475.15 = 463.14/x
  3. Step 3: Cross multiply
    982.85x = 1,475.15 × 463.14
  4. Step 4: Simplify right side
    982.85x = 683,198.66
  5. Step 5: Solve for x
    x = 683,198.66/982.85
  6. Step 6: Final answer
    x = 695.12

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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.