Home / 1,310.24-1,965.49-432.75

Finding the Fourth Proportional to 1,310.24, 1,965.49 and 432.75

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Solution

The fourth proportional to 1,310.24, 1,965.49 and 432.75 is: 649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.24 : 1,965.49 = 432.75 : x
  2. Step 2: Convert to fraction form
    1,310.24/1,965.49 = 432.75/x
  3. Step 3: Cross multiply
    1,310.24x = 1,965.49 × 432.75
  4. Step 4: Simplify right side
    1,310.24x = 850,564.72
  5. Step 5: Solve for x
    x = 850,564.72/1,310.24
  6. Step 6: Final answer
    x = 649.17

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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.