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Finding the Fourth Proportional to 977.68, 1,344.56 and 780.84

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Solution

The fourth proportional to 977.68, 1,344.56 and 780.84 is: 1,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.68 : 1,344.56 = 780.84 : x
  2. Step 2: Convert to fraction form
    977.68/1,344.56 = 780.84/x
  3. Step 3: Cross multiply
    977.68x = 1,344.56 × 780.84
  4. Step 4: Simplify right side
    977.68x = 1,049,886.23
  5. Step 5: Solve for x
    x = 1,049,886.23/977.68
  6. Step 6: Final answer
    x = 1,073.85

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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.