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Finding the Fourth Proportional to 1,005.85, 1,508.01 and 389.47

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Solution

The fourth proportional to 1,005.85, 1,508.01 and 389.47 is: 583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.85 : 1,508.01 = 389.47 : x
  2. Step 2: Convert to fraction form
    1,005.85/1,508.01 = 389.47/x
  3. Step 3: Cross multiply
    1,005.85x = 1,508.01 × 389.47
  4. Step 4: Simplify right side
    1,005.85x = 587,324.65
  5. Step 5: Solve for x
    x = 587,324.65/1,005.85
  6. Step 6: Final answer
    x = 583.91

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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.