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Finding the Fourth Proportional to 652.61, 978.39 and 323.66

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Solution

The fourth proportional to 652.61, 978.39 and 323.66 is: 485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.61 : 978.39 = 323.66 : x
  2. Step 2: Convert to fraction form
    652.61/978.39 = 323.66/x
  3. Step 3: Cross multiply
    652.61x = 978.39 × 323.66
  4. Step 4: Simplify right side
    652.61x = 316,665.70
  5. Step 5: Solve for x
    x = 316,665.70/652.61
  6. Step 6: Final answer
    x = 485.23

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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.