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Finding the Fourth Proportional to 1,402.30, 2,102.50 and 708.13

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Solution

The fourth proportional to 1,402.30, 2,102.50 and 708.13 is: 1,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.30 : 2,102.50 = 708.13 : x
  2. Step 2: Convert to fraction form
    1,402.30/2,102.50 = 708.13/x
  3. Step 3: Cross multiply
    1,402.30x = 2,102.50 × 708.13
  4. Step 4: Simplify right side
    1,402.30x = 1,488,843.33
  5. Step 5: Solve for x
    x = 1,488,843.33/1,402.30
  6. Step 6: Final answer
    x = 1,061.72

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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.