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Finding the Fourth Proportional to 747.51, 1,121.55 and 285.42

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Solution

The fourth proportional to 747.51, 1,121.55 and 285.42 is: 428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.51 : 1,121.55 = 285.42 : x
  2. Step 2: Convert to fraction form
    747.51/1,121.55 = 285.42/x
  3. Step 3: Cross multiply
    747.51x = 1,121.55 × 285.42
  4. Step 4: Simplify right side
    747.51x = 320,112.80
  5. Step 5: Solve for x
    x = 320,112.80/747.51
  6. Step 6: Final answer
    x = 428.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.