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Finding the Fourth Proportional to 1,320.21, 1,821.88 and 760.78

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Solution

The fourth proportional to 1,320.21, 1,821.88 and 760.78 is: 1,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.21 : 1,821.88 = 760.78 : x
  2. Step 2: Convert to fraction form
    1,320.21/1,821.88 = 760.78/x
  3. Step 3: Cross multiply
    1,320.21x = 1,821.88 × 760.78
  4. Step 4: Simplify right side
    1,320.21x = 1,386,050.11
  5. Step 5: Solve for x
    x = 1,386,050.11/1,320.21
  6. Step 6: Final answer
    x = 1,049.87

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1.5x scale

Why These Related Problems?

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