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Finding the Fourth Proportional to 1,471.84, 2,207.07 and 431.57

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Solution

The fourth proportional to 1,471.84, 2,207.07 and 431.57 is: 647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.84 : 2,207.07 = 431.57 : x
  2. Step 2: Convert to fraction form
    1,471.84/2,207.07 = 431.57/x
  3. Step 3: Cross multiply
    1,471.84x = 2,207.07 × 431.57
  4. Step 4: Simplify right side
    1,471.84x = 952,507.65
  5. Step 5: Solve for x
    x = 952,507.65/1,471.84
  6. Step 6: Final answer
    x = 647.15

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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.