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Finding the Fourth Proportional to 784.78, 1,175.91 and 460.42

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Solution

The fourth proportional to 784.78, 1,175.91 and 460.42 is: 689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.78 : 1,175.91 = 460.42 : x
  2. Step 2: Convert to fraction form
    784.78/1,175.91 = 460.42/x
  3. Step 3: Cross multiply
    784.78x = 1,175.91 × 460.42
  4. Step 4: Simplify right side
    784.78x = 541,412.48
  5. Step 5: Solve for x
    x = 541,412.48/784.78
  6. Step 6: Final answer
    x = 689.89

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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.