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Finding the Fourth Proportional to 909.80, 1,358.62 and 778.44

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Solution

The fourth proportional to 909.80, 1,358.62 and 778.44 is: 1,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.80 : 1,358.62 = 778.44 : x
  2. Step 2: Convert to fraction form
    909.80/1,358.62 = 778.44/x
  3. Step 3: Cross multiply
    909.80x = 1,358.62 × 778.44
  4. Step 4: Simplify right side
    909.80x = 1,057,604.15
  5. Step 5: Solve for x
    x = 1,057,604.15/909.80
  6. Step 6: Final answer
    x = 1,162.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.