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Finding the Fourth Proportional to 1,302.50, 1,952.84 and 652.88

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Solution

The fourth proportional to 1,302.50, 1,952.84 and 652.88 is: 978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.50 : 1,952.84 = 652.88 : x
  2. Step 2: Convert to fraction form
    1,302.50/1,952.84 = 652.88/x
  3. Step 3: Cross multiply
    1,302.50x = 1,952.84 × 652.88
  4. Step 4: Simplify right side
    1,302.50x = 1,274,976.69
  5. Step 5: Solve for x
    x = 1,274,976.69/1,302.50
  6. Step 6: Final answer
    x = 978.87

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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.