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Finding the Fourth Proportional to 918.29, 1,378.02 and 398.21

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Solution

The fourth proportional to 918.29, 1,378.02 and 398.21 is: 597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.29 : 1,378.02 = 398.21 : x
  2. Step 2: Convert to fraction form
    918.29/1,378.02 = 398.21/x
  3. Step 3: Cross multiply
    918.29x = 1,378.02 × 398.21
  4. Step 4: Simplify right side
    918.29x = 548,741.34
  5. Step 5: Solve for x
    x = 548,741.34/918.29
  6. Step 6: Final answer
    x = 597.57

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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.