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Finding the Fourth Proportional to 934.08, 1,390.38 and 920.22

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Solution

The fourth proportional to 934.08, 1,390.38 and 920.22 is: 1,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.08 : 1,390.38 = 920.22 : x
  2. Step 2: Convert to fraction form
    934.08/1,390.38 = 920.22/x
  3. Step 3: Cross multiply
    934.08x = 1,390.38 × 920.22
  4. Step 4: Simplify right side
    934.08x = 1,279,455.48
  5. Step 5: Solve for x
    x = 1,279,455.48/934.08
  6. Step 6: Final answer
    x = 1,369.75

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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.