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Finding the Fourth Proportional to 921.88, 1,381.52 and 784.38

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Solution

The fourth proportional to 921.88, 1,381.52 and 784.38 is: 1,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.88 : 1,381.52 = 784.38 : x
  2. Step 2: Convert to fraction form
    921.88/1,381.52 = 784.38/x
  3. Step 3: Cross multiply
    921.88x = 1,381.52 × 784.38
  4. Step 4: Simplify right side
    921.88x = 1,083,643.80
  5. Step 5: Solve for x
    x = 1,083,643.80/921.88
  6. Step 6: Final answer
    x = 1,175.47

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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.