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Finding the Fourth Proportional to 1,005.87, 1,508.04 and 696.84

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Solution

The fourth proportional to 1,005.87, 1,508.04 and 696.84 is: 1,044.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.87 : 1,508.04 = 696.84 : x
  2. Step 2: Convert to fraction form
    1,005.87/1,508.04 = 696.84/x
  3. Step 3: Cross multiply
    1,005.87x = 1,508.04 × 696.84
  4. Step 4: Simplify right side
    1,005.87x = 1,050,862.59
  5. Step 5: Solve for x
    x = 1,050,862.59/1,005.87
  6. Step 6: Final answer
    x = 1,044.73

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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.