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Finding the Fourth Proportional to 855.47, 1,180.30 and 576.02

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Solution

The fourth proportional to 855.47, 1,180.30 and 576.02 is: 794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.47 : 1,180.30 = 576.02 : x
  2. Step 2: Convert to fraction form
    855.47/1,180.30 = 576.02/x
  3. Step 3: Cross multiply
    855.47x = 1,180.30 × 576.02
  4. Step 4: Simplify right side
    855.47x = 679,876.41
  5. Step 5: Solve for x
    x = 679,876.41/855.47
  6. Step 6: Final answer
    x = 794.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.