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Finding the Fourth Proportional to 1,247.48, 1,871.27 and 467.40

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Solution

The fourth proportional to 1,247.48, 1,871.27 and 467.40 is: 701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.48 : 1,871.27 = 467.40 : x
  2. Step 2: Convert to fraction form
    1,247.48/1,871.27 = 467.40/x
  3. Step 3: Cross multiply
    1,247.48x = 1,871.27 × 467.40
  4. Step 4: Simplify right side
    1,247.48x = 874,631.60
  5. Step 5: Solve for x
    x = 874,631.60/1,247.48
  6. Step 6: Final answer
    x = 701.12

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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.