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Finding the Fourth Proportional to 1,247.64, 1,871.24 and 467.57

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Solution

The fourth proportional to 1,247.64, 1,871.24 and 467.57 is: 701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.64 : 1,871.24 = 467.57 : x
  2. Step 2: Convert to fraction form
    1,247.64/1,871.24 = 467.57/x
  3. Step 3: Cross multiply
    1,247.64x = 1,871.24 × 467.57
  4. Step 4: Simplify right side
    1,247.64x = 874,928.67
  5. Step 5: Solve for x
    x = 874,928.67/1,247.64
  6. Step 6: Final answer
    x = 701.27

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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.