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Finding the Fourth Proportional to 912.35, 1,369.17 and 619.12

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Solution

The fourth proportional to 912.35, 1,369.17 and 619.12 is: 929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.35 : 1,369.17 = 619.12 : x
  2. Step 2: Convert to fraction form
    912.35/1,369.17 = 619.12/x
  3. Step 3: Cross multiply
    912.35x = 1,369.17 × 619.12
  4. Step 4: Simplify right side
    912.35x = 847,680.53
  5. Step 5: Solve for x
    x = 847,680.53/912.35
  6. Step 6: Final answer
    x = 929.12

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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.