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Finding the Fourth Proportional to 922.14, 1,273.48 and 790.38

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Solution

The fourth proportional to 922.14, 1,273.48 and 790.38 is: 1,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.14 : 1,273.48 = 790.38 : x
  2. Step 2: Convert to fraction form
    922.14/1,273.48 = 790.38/x
  3. Step 3: Cross multiply
    922.14x = 1,273.48 × 790.38
  4. Step 4: Simplify right side
    922.14x = 1,006,533.12
  5. Step 5: Solve for x
    x = 1,006,533.12/922.14
  6. Step 6: Final answer
    x = 1,091.52

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Double scale
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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.