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Finding the Fourth Proportional to 1,548.98, 2,323.49 and 394.73

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Solution

The fourth proportional to 1,548.98, 2,323.49 and 394.73 is: 592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.98 : 2,323.49 = 394.73 : x
  2. Step 2: Convert to fraction form
    1,548.98/2,323.49 = 394.73/x
  3. Step 3: Cross multiply
    1,548.98x = 2,323.49 × 394.73
  4. Step 4: Simplify right side
    1,548.98x = 917,149.23
  5. Step 5: Solve for x
    x = 917,149.23/1,548.98
  6. Step 6: Final answer
    x = 592.10

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Double scale
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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.