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Finding the Fourth Proportional to 977.25, 1,348.41 and 578.88

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Solution

The fourth proportional to 977.25, 1,348.41 and 578.88 is: 798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.25 : 1,348.41 = 578.88 : x
  2. Step 2: Convert to fraction form
    977.25/1,348.41 = 578.88/x
  3. Step 3: Cross multiply
    977.25x = 1,348.41 × 578.88
  4. Step 4: Simplify right side
    977.25x = 780,567.58
  5. Step 5: Solve for x
    x = 780,567.58/977.25
  6. Step 6: Final answer
    x = 798.74

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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.