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Finding the Fourth Proportional to 1,592.46, 2,388.54 and 496.78

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Solution

The fourth proportional to 1,592.46, 2,388.54 and 496.78 is: 745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.46 : 2,388.54 = 496.78 : x
  2. Step 2: Convert to fraction form
    1,592.46/2,388.54 = 496.78/x
  3. Step 3: Cross multiply
    1,592.46x = 2,388.54 × 496.78
  4. Step 4: Simplify right side
    1,592.46x = 1,186,585.43
  5. Step 5: Solve for x
    x = 1,186,585.43/1,592.46
  6. Step 6: Final answer
    x = 745.13

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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.