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Finding the Fourth Proportional to 652.05, 976.86 and 544.32

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Solution

The fourth proportional to 652.05, 976.86 and 544.32 is: 815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.05 : 976.86 = 544.32 : x
  2. Step 2: Convert to fraction form
    652.05/976.86 = 544.32/x
  3. Step 3: Cross multiply
    652.05x = 976.86 × 544.32
  4. Step 4: Simplify right side
    652.05x = 531,724.44
  5. Step 5: Solve for x
    x = 531,724.44/652.05
  6. Step 6: Final answer
    x = 815.47

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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.