Home / 1,731.32-2,596.93-432.78

Finding the Fourth Proportional to 1,731.32, 2,596.93 and 432.78

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Solution

The fourth proportional to 1,731.32, 2,596.93 and 432.78 is: 649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.32 : 2,596.93 = 432.78 : x
  2. Step 2: Convert to fraction form
    1,731.32/2,596.93 = 432.78/x
  3. Step 3: Cross multiply
    1,731.32x = 2,596.93 × 432.78
  4. Step 4: Simplify right side
    1,731.32x = 1,123,898.28
  5. Step 5: Solve for x
    x = 1,123,898.28/1,731.32
  6. Step 6: Final answer
    x = 649.16

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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.