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Finding the Fourth Proportional to 1,213.44, 1,817.52 and 726.72

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Solution

The fourth proportional to 1,213.44, 1,817.52 and 726.72 is: 1,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.44 : 1,817.52 = 726.72 : x
  2. Step 2: Convert to fraction form
    1,213.44/1,817.52 = 726.72/x
  3. Step 3: Cross multiply
    1,213.44x = 1,817.52 × 726.72
  4. Step 4: Simplify right side
    1,213.44x = 1,320,828.13
  5. Step 5: Solve for x
    x = 1,320,828.13/1,213.44
  6. Step 6: Final answer
    x = 1,088.50

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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.