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Finding the Fourth Proportional to 1,244.72, 1,867.36 and 464.72

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Solution

The fourth proportional to 1,244.72, 1,867.36 and 464.72 is: 697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.72 : 1,867.36 = 464.72 : x
  2. Step 2: Convert to fraction form
    1,244.72/1,867.36 = 464.72/x
  3. Step 3: Cross multiply
    1,244.72x = 1,867.36 × 464.72
  4. Step 4: Simplify right side
    1,244.72x = 867,799.54
  5. Step 5: Solve for x
    x = 867,799.54/1,244.72
  6. Step 6: Final answer
    x = 697.18

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1.5x scale

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.