Home / 1,310.36-1,965.77-432.90

Finding the Fourth Proportional to 1,310.36, 1,965.77 and 432.90

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Solution

The fourth proportional to 1,310.36, 1,965.77 and 432.90 is: 649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.36 : 1,965.77 = 432.90 : x
  2. Step 2: Convert to fraction form
    1,310.36/1,965.77 = 432.90/x
  3. Step 3: Cross multiply
    1,310.36x = 1,965.77 × 432.90
  4. Step 4: Simplify right side
    1,310.36x = 850,982.92
  5. Step 5: Solve for x
    x = 850,982.92/1,310.36
  6. Step 6: Final answer
    x = 649.43

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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.