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Finding the Fourth Proportional to 652.23, 977.66 and 405.44

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Solution

The fourth proportional to 652.23, 977.66 and 405.44 is: 607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.23 : 977.66 = 405.44 : x
  2. Step 2: Convert to fraction form
    652.23/977.66 = 405.44/x
  3. Step 3: Cross multiply
    652.23x = 977.66 × 405.44
  4. Step 4: Simplify right side
    652.23x = 396,382.47
  5. Step 5: Solve for x
    x = 396,382.47/652.23
  6. Step 6: Final answer
    x = 607.73

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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.