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Finding the Fourth Proportional to 876.29, 1,209.77 and 578.40

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Solution

The fourth proportional to 876.29, 1,209.77 and 578.40 is: 798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.29 : 1,209.77 = 578.40 : x
  2. Step 2: Convert to fraction form
    876.29/1,209.77 = 578.40/x
  3. Step 3: Cross multiply
    876.29x = 1,209.77 × 578.40
  4. Step 4: Simplify right side
    876.29x = 699,732.41
  5. Step 5: Solve for x
    x = 699,732.41/876.29
  6. Step 6: Final answer
    x = 798.52

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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.