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Finding the Fourth Proportional to 1,399.54, 2,099.37 and 425.65

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Solution

The fourth proportional to 1,399.54, 2,099.37 and 425.65 is: 638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.54 : 2,099.37 = 425.65 : x
  2. Step 2: Convert to fraction form
    1,399.54/2,099.37 = 425.65/x
  3. Step 3: Cross multiply
    1,399.54x = 2,099.37 × 425.65
  4. Step 4: Simplify right side
    1,399.54x = 893,586.34
  5. Step 5: Solve for x
    x = 893,586.34/1,399.54
  6. Step 6: Final answer
    x = 638.49

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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.