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Finding the Fourth Proportional to 1,000.30, 1,381.36 and 945.76

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Solution

The fourth proportional to 1,000.30, 1,381.36 and 945.76 is: 1,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.30 : 1,381.36 = 945.76 : x
  2. Step 2: Convert to fraction form
    1,000.30/1,381.36 = 945.76/x
  3. Step 3: Cross multiply
    1,000.30x = 1,381.36 × 945.76
  4. Step 4: Simplify right side
    1,000.30x = 1,306,428.13
  5. Step 5: Solve for x
    x = 1,306,428.13/1,000.30
  6. Step 6: Final answer
    x = 1,306.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.