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Finding the Fourth Proportional to 1,326.79, 1,989.36 and 546.16

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Solution

The fourth proportional to 1,326.79, 1,989.36 and 546.16 is: 818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.79 : 1,989.36 = 546.16 : x
  2. Step 2: Convert to fraction form
    1,326.79/1,989.36 = 546.16/x
  3. Step 3: Cross multiply
    1,326.79x = 1,989.36 × 546.16
  4. Step 4: Simplify right side
    1,326.79x = 1,086,508.86
  5. Step 5: Solve for x
    x = 1,086,508.86/1,326.79
  6. Step 6: Final answer
    x = 818.90

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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.