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Finding the Fourth Proportional to 938.57, 1,407.89 and 322.27

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Solution

The fourth proportional to 938.57, 1,407.89 and 322.27 is: 483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.57 : 1,407.89 = 322.27 : x
  2. Step 2: Convert to fraction form
    938.57/1,407.89 = 322.27/x
  3. Step 3: Cross multiply
    938.57x = 1,407.89 × 322.27
  4. Step 4: Simplify right side
    938.57x = 453,718.82
  5. Step 5: Solve for x
    x = 453,718.82/938.57
  6. Step 6: Final answer
    x = 483.42

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