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Finding the Fourth Proportional to 1,047.55, 1,571.47 and 431.21

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Solution

The fourth proportional to 1,047.55, 1,571.47 and 431.21 is: 646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.55 : 1,571.47 = 431.21 : x
  2. Step 2: Convert to fraction form
    1,047.55/1,571.47 = 431.21/x
  3. Step 3: Cross multiply
    1,047.55x = 1,571.47 × 431.21
  4. Step 4: Simplify right side
    1,047.55x = 677,633.58
  5. Step 5: Solve for x
    x = 677,633.58/1,047.55
  6. Step 6: Final answer
    x = 646.87

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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.