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Finding the Fourth Proportional to 1,311.30, 1,965.87 and 652.86

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Solution

The fourth proportional to 1,311.30, 1,965.87 and 652.86 is: 978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.30 : 1,965.87 = 652.86 : x
  2. Step 2: Convert to fraction form
    1,311.30/1,965.87 = 652.86/x
  3. Step 3: Cross multiply
    1,311.30x = 1,965.87 × 652.86
  4. Step 4: Simplify right side
    1,311.30x = 1,283,437.89
  5. Step 5: Solve for x
    x = 1,283,437.89/1,311.30
  6. Step 6: Final answer
    x = 978.75

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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.