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Finding the Fourth Proportional to 652.75, 978.71 and 446.69

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Solution

The fourth proportional to 652.75, 978.71 and 446.69 is: 669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.75 : 978.71 = 446.69 : x
  2. Step 2: Convert to fraction form
    652.75/978.71 = 446.69/x
  3. Step 3: Cross multiply
    652.75x = 978.71 × 446.69
  4. Step 4: Simplify right side
    652.75x = 437,180.18
  5. Step 5: Solve for x
    x = 437,180.18/652.75
  6. Step 6: Final answer
    x = 669.75

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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.