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Finding the Fourth Proportional to 1,326.35, 1,989.80 and 778.61

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Solution

The fourth proportional to 1,326.35, 1,989.80 and 778.61 is: 1,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.35 : 1,989.80 = 778.61 : x
  2. Step 2: Convert to fraction form
    1,326.35/1,989.80 = 778.61/x
  3. Step 3: Cross multiply
    1,326.35x = 1,989.80 × 778.61
  4. Step 4: Simplify right side
    1,326.35x = 1,549,278.18
  5. Step 5: Solve for x
    x = 1,549,278.18/1,326.35
  6. Step 6: Final answer
    x = 1,168.08

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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.