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Finding the Fourth Proportional to 922.09, 1,381.69 and 784.57

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Solution

The fourth proportional to 922.09, 1,381.69 and 784.57 is: 1,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.09 : 1,381.69 = 784.57 : x
  2. Step 2: Convert to fraction form
    922.09/1,381.69 = 784.57/x
  3. Step 3: Cross multiply
    922.09x = 1,381.69 × 784.57
  4. Step 4: Simplify right side
    922.09x = 1,084,032.52
  5. Step 5: Solve for x
    x = 1,084,032.52/922.09
  6. Step 6: Final answer
    x = 1,175.63

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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.