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Finding the Fourth Proportional to 920.38, 1,270.41 and 815.83

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Solution

The fourth proportional to 920.38, 1,270.41 and 815.83 is: 1,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.38 : 1,270.41 = 815.83 : x
  2. Step 2: Convert to fraction form
    920.38/1,270.41 = 815.83/x
  3. Step 3: Cross multiply
    920.38x = 1,270.41 × 815.83
  4. Step 4: Simplify right side
    920.38x = 1,036,438.59
  5. Step 5: Solve for x
    x = 1,036,438.59/920.38
  6. Step 6: Final answer
    x = 1,126.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.