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Finding the Fourth Proportional to 1,320.29, 1,821.86 and 760.64

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Solution

The fourth proportional to 1,320.29, 1,821.86 and 760.64 is: 1,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.29 : 1,821.86 = 760.64 : x
  2. Step 2: Convert to fraction form
    1,320.29/1,821.86 = 760.64/x
  3. Step 3: Cross multiply
    1,320.29x = 1,821.86 × 760.64
  4. Step 4: Simplify right side
    1,320.29x = 1,385,780.34
  5. Step 5: Solve for x
    x = 1,385,780.34/1,320.29
  6. Step 6: Final answer
    x = 1,049.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.