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Finding the Fourth Proportional to 652.68, 982.88 and 544.02

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Solution

The fourth proportional to 652.68, 982.88 and 544.02 is: 819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.68 : 982.88 = 544.02 : x
  2. Step 2: Convert to fraction form
    652.68/982.88 = 544.02/x
  3. Step 3: Cross multiply
    652.68x = 982.88 × 544.02
  4. Step 4: Simplify right side
    652.68x = 534,706.38
  5. Step 5: Solve for x
    x = 534,706.38/652.68
  6. Step 6: Final answer
    x = 819.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.