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Finding the Fourth Proportional to 982.52, 1,476.06 and 636.55

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Solution

The fourth proportional to 982.52, 1,476.06 and 636.55 is: 956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.52 : 1,476.06 = 636.55 : x
  2. Step 2: Convert to fraction form
    982.52/1,476.06 = 636.55/x
  3. Step 3: Cross multiply
    982.52x = 1,476.06 × 636.55
  4. Step 4: Simplify right side
    982.52x = 939,585.99
  5. Step 5: Solve for x
    x = 939,585.99/982.52
  6. Step 6: Final answer
    x = 956.30

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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.