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Finding the Fourth Proportional to 912.28, 1,368.54 and 418.72

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Solution

The fourth proportional to 912.28, 1,368.54 and 418.72 is: 628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.28 : 1,368.54 = 418.72 : x
  2. Step 2: Convert to fraction form
    912.28/1,368.54 = 418.72/x
  3. Step 3: Cross multiply
    912.28x = 1,368.54 × 418.72
  4. Step 4: Simplify right side
    912.28x = 573,035.07
  5. Step 5: Solve for x
    x = 573,035.07/912.28
  6. Step 6: Final answer
    x = 628.14

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Why These Related Problems?

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