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Finding the Fourth Proportional to 905.44, 1,363.16 and 780.16

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Solution

The fourth proportional to 905.44, 1,363.16 and 780.16 is: 1,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.44 : 1,363.16 = 780.16 : x
  2. Step 2: Convert to fraction form
    905.44/1,363.16 = 780.16/x
  3. Step 3: Cross multiply
    905.44x = 1,363.16 × 780.16
  4. Step 4: Simplify right side
    905.44x = 1,063,482.91
  5. Step 5: Solve for x
    x = 1,063,482.91/905.44
  6. Step 6: Final answer
    x = 1,174.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.