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Finding the Fourth Proportional to 1,731.79, 2,597.69 and 433.27

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Solution

The fourth proportional to 1,731.79, 2,597.69 and 433.27 is: 649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.79 : 2,597.69 = 433.27 : x
  2. Step 2: Convert to fraction form
    1,731.79/2,597.69 = 433.27/x
  3. Step 3: Cross multiply
    1,731.79x = 2,597.69 × 433.27
  4. Step 4: Simplify right side
    1,731.79x = 1,125,501.15
  5. Step 5: Solve for x
    x = 1,125,501.15/1,731.79
  6. Step 6: Final answer
    x = 649.91

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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.