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Finding the Fourth Proportional to 929.62, 1,392.36 and 784.78

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Solution

The fourth proportional to 929.62, 1,392.36 and 784.78 is: 1,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.62 : 1,392.36 = 784.78 : x
  2. Step 2: Convert to fraction form
    929.62/1,392.36 = 784.78/x
  3. Step 3: Cross multiply
    929.62x = 1,392.36 × 784.78
  4. Step 4: Simplify right side
    929.62x = 1,092,696.28
  5. Step 5: Solve for x
    x = 1,092,696.28/929.62
  6. Step 6: Final answer
    x = 1,175.42

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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.