Home / 1,554.24-2,331.46-458.50

Finding the Fourth Proportional to 1,554.24, 2,331.46 and 458.50

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Solution

The fourth proportional to 1,554.24, 2,331.46 and 458.50 is: 687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.24 : 2,331.46 = 458.50 : x
  2. Step 2: Convert to fraction form
    1,554.24/2,331.46 = 458.50/x
  3. Step 3: Cross multiply
    1,554.24x = 2,331.46 × 458.50
  4. Step 4: Simplify right side
    1,554.24x = 1,068,974.41
  5. Step 5: Solve for x
    x = 1,068,974.41/1,554.24
  6. Step 6: Final answer
    x = 687.78

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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.