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Finding the Fourth Proportional to 920.88, 1,378.12 and 754.42

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Solution

The fourth proportional to 920.88, 1,378.12 and 754.42 is: 1,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.88 : 1,378.12 = 754.42 : x
  2. Step 2: Convert to fraction form
    920.88/1,378.12 = 754.42/x
  3. Step 3: Cross multiply
    920.88x = 1,378.12 × 754.42
  4. Step 4: Simplify right side
    920.88x = 1,039,681.29
  5. Step 5: Solve for x
    x = 1,039,681.29/920.88
  6. Step 6: Final answer
    x = 1,129.01

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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.