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Finding the Fourth Proportional to 1,458.74, 2,188.82 and 728.39

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Solution

The fourth proportional to 1,458.74, 2,188.82 and 728.39 is: 1,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.74 : 2,188.82 = 728.39 : x
  2. Step 2: Convert to fraction form
    1,458.74/2,188.82 = 728.39/x
  3. Step 3: Cross multiply
    1,458.74x = 2,188.82 × 728.39
  4. Step 4: Simplify right side
    1,458.74x = 1,594,321.89
  5. Step 5: Solve for x
    x = 1,594,321.89/1,458.74
  6. Step 6: Final answer
    x = 1,092.94

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1.5x scale

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.