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Finding the Fourth Proportional to 927.25, 1,390.52 and 342.18

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Solution

The fourth proportional to 927.25, 1,390.52 and 342.18 is: 513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.25 : 1,390.52 = 342.18 : x
  2. Step 2: Convert to fraction form
    927.25/1,390.52 = 342.18/x
  3. Step 3: Cross multiply
    927.25x = 1,390.52 × 342.18
  4. Step 4: Simplify right side
    927.25x = 475,808.99
  5. Step 5: Solve for x
    x = 475,808.99/927.25
  6. Step 6: Final answer
    x = 513.14

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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.