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Finding the Fourth Proportional to 1,006.81, 1,510.61 and 813.61

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Solution

The fourth proportional to 1,006.81, 1,510.61 and 813.61 is: 1,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.81 : 1,510.61 = 813.61 : x
  2. Step 2: Convert to fraction form
    1,006.81/1,510.61 = 813.61/x
  3. Step 3: Cross multiply
    1,006.81x = 1,510.61 × 813.61
  4. Step 4: Simplify right side
    1,006.81x = 1,229,047.40
  5. Step 5: Solve for x
    x = 1,229,047.40/1,006.81
  6. Step 6: Final answer
    x = 1,220.73

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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.