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Finding the Fourth Proportional to 1,240.44, 1,860.93 and 590.28

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Solution

The fourth proportional to 1,240.44, 1,860.93 and 590.28 is: 885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.44 : 1,860.93 = 590.28 : x
  2. Step 2: Convert to fraction form
    1,240.44/1,860.93 = 590.28/x
  3. Step 3: Cross multiply
    1,240.44x = 1,860.93 × 590.28
  4. Step 4: Simplify right side
    1,240.44x = 1,098,469.76
  5. Step 5: Solve for x
    x = 1,098,469.76/1,240.44
  6. Step 6: Final answer
    x = 885.55

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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.