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Finding the Fourth Proportional to 1,487.45, 2,231.07 and 391.82

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Solution

The fourth proportional to 1,487.45, 2,231.07 and 391.82 is: 587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.45 : 2,231.07 = 391.82 : x
  2. Step 2: Convert to fraction form
    1,487.45/2,231.07 = 391.82/x
  3. Step 3: Cross multiply
    1,487.45x = 2,231.07 × 391.82
  4. Step 4: Simplify right side
    1,487.45x = 874,166.69
  5. Step 5: Solve for x
    x = 874,166.69/1,487.45
  6. Step 6: Final answer
    x = 587.70

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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.