Home / 1,532.38-2,298.54-378.14

Finding the Fourth Proportional to 1,532.38, 2,298.54 and 378.14

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Solution

The fourth proportional to 1,532.38, 2,298.54 and 378.14 is: 567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.38 : 2,298.54 = 378.14 : x
  2. Step 2: Convert to fraction form
    1,532.38/2,298.54 = 378.14/x
  3. Step 3: Cross multiply
    1,532.38x = 2,298.54 × 378.14
  4. Step 4: Simplify right side
    1,532.38x = 869,169.92
  5. Step 5: Solve for x
    x = 869,169.92/1,532.38
  6. Step 6: Final answer
    x = 567.20

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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.