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Finding the Fourth Proportional to 1,002.30, 1,502.19 and 820.02

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Solution

The fourth proportional to 1,002.30, 1,502.19 and 820.02 is: 1,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.30 : 1,502.19 = 820.02 : x
  2. Step 2: Convert to fraction form
    1,002.30/1,502.19 = 820.02/x
  3. Step 3: Cross multiply
    1,002.30x = 1,502.19 × 820.02
  4. Step 4: Simplify right side
    1,002.30x = 1,231,825.84
  5. Step 5: Solve for x
    x = 1,231,825.84/1,002.30
  6. Step 6: Final answer
    x = 1,229.00

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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.