Home / 1,731.77-2,597.66-433.23

Finding the Fourth Proportional to 1,731.77, 2,597.66 and 433.23

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Solution

The fourth proportional to 1,731.77, 2,597.66 and 433.23 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.77 : 2,597.66 = 433.23 : x
  2. Step 2: Convert to fraction form
    1,731.77/2,597.66 = 433.23/x
  3. Step 3: Cross multiply
    1,731.77x = 2,597.66 × 433.23
  4. Step 4: Simplify right side
    1,731.77x = 1,125,382.08
  5. Step 5: Solve for x
    x = 1,125,382.08/1,731.77
  6. Step 6: Final answer
    x = 649.85

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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.