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Finding the Fourth Proportional to 938, 1,407.01 and 288.74

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Solution

The fourth proportional to 938, 1,407.01 and 288.74 is: 433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    938 : 1,407.01 = 288.74 : x
  2. Step 2: Convert to fraction form
    938/1,407.01 = 288.74/x
  3. Step 3: Cross multiply
    938x = 1,407.01 × 288.74
  4. Step 4: Simplify right side
    938x = 406,260.07
  5. Step 5: Solve for x
    x = 406,260.07/938
  6. Step 6: Final answer
    x = 433.11

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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.