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Finding the Fourth Proportional to 912.40, 1,369.78 and 783.24

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Solution

The fourth proportional to 912.40, 1,369.78 and 783.24 is: 1,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.40 : 1,369.78 = 783.24 : x
  2. Step 2: Convert to fraction form
    912.40/1,369.78 = 783.24/x
  3. Step 3: Cross multiply
    912.40x = 1,369.78 × 783.24
  4. Step 4: Simplify right side
    912.40x = 1,072,859.39
  5. Step 5: Solve for x
    x = 1,072,859.39/912.40
  6. Step 6: Final answer
    x = 1,175.87

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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.