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Finding the Fourth Proportional to 784.11, 1,175.72 and 524.41

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Solution

The fourth proportional to 784.11, 1,175.72 and 524.41 is: 786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.11 : 1,175.72 = 524.41 : x
  2. Step 2: Convert to fraction form
    784.11/1,175.72 = 524.41/x
  3. Step 3: Cross multiply
    784.11x = 1,175.72 × 524.41
  4. Step 4: Simplify right side
    784.11x = 616,553.76
  5. Step 5: Solve for x
    x = 616,553.76/784.11
  6. Step 6: Final answer
    x = 786.31

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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.