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Finding the Fourth Proportional to 1,027.49, 1,540.02 and 479.93

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Solution

The fourth proportional to 1,027.49, 1,540.02 and 479.93 is: 719.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.49 : 1,540.02 = 479.93 : x
  2. Step 2: Convert to fraction form
    1,027.49/1,540.02 = 479.93/x
  3. Step 3: Cross multiply
    1,027.49x = 1,540.02 × 479.93
  4. Step 4: Simplify right side
    1,027.49x = 739,101.80
  5. Step 5: Solve for x
    x = 739,101.80/1,027.49
  6. Step 6: Final answer
    x = 719.33

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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.