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Finding the Fourth Proportional to 1,594.46, 2,391.54 and 498.78

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Solution

The fourth proportional to 1,594.46, 2,391.54 and 498.78 is: 748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.46 : 2,391.54 = 498.78 : x
  2. Step 2: Convert to fraction form
    1,594.46/2,391.54 = 498.78/x
  3. Step 3: Cross multiply
    1,594.46x = 2,391.54 × 498.78
  4. Step 4: Simplify right side
    1,594.46x = 1,192,852.32
  5. Step 5: Solve for x
    x = 1,192,852.32/1,594.46
  6. Step 6: Final answer
    x = 748.12

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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.