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Finding the Fourth Proportional to 983.55, 1,475.02 and 521.25

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Solution

The fourth proportional to 983.55, 1,475.02 and 521.25 is: 781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.55 : 1,475.02 = 521.25 : x
  2. Step 2: Convert to fraction form
    983.55/1,475.02 = 521.25/x
  3. Step 3: Cross multiply
    983.55x = 1,475.02 × 521.25
  4. Step 4: Simplify right side
    983.55x = 768,854.18
  5. Step 5: Solve for x
    x = 768,854.18/983.55
  6. Step 6: Final answer
    x = 781.71

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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.