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Finding the Fourth Proportional to 1,247.59, 1,871.03 and 467.47

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Solution

The fourth proportional to 1,247.59, 1,871.03 and 467.47 is: 701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.59 : 1,871.03 = 467.47 : x
  2. Step 2: Convert to fraction form
    1,247.59/1,871.03 = 467.47/x
  3. Step 3: Cross multiply
    1,247.59x = 1,871.03 × 467.47
  4. Step 4: Simplify right side
    1,247.59x = 874,650.39
  5. Step 5: Solve for x
    x = 874,650.39/1,247.59
  6. Step 6: Final answer
    x = 701.07

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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.