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Finding the Fourth Proportional to 1,502.04, 2,252.08 and 721.02

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Solution

The fourth proportional to 1,502.04, 2,252.08 and 721.02 is: 1,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.04 : 2,252.08 = 721.02 : x
  2. Step 2: Convert to fraction form
    1,502.04/2,252.08 = 721.02/x
  3. Step 3: Cross multiply
    1,502.04x = 2,252.08 × 721.02
  4. Step 4: Simplify right side
    1,502.04x = 1,623,794.72
  5. Step 5: Solve for x
    x = 1,623,794.72/1,502.04
  6. Step 6: Final answer
    x = 1,081.06

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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.