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Finding the Fourth Proportional to 652.69, 978.73 and 378.86

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Solution

The fourth proportional to 652.69, 978.73 and 378.86 is: 568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.69 : 978.73 = 378.86 : x
  2. Step 2: Convert to fraction form
    652.69/978.73 = 378.86/x
  3. Step 3: Cross multiply
    652.69x = 978.73 × 378.86
  4. Step 4: Simplify right side
    652.69x = 370,801.65
  5. Step 5: Solve for x
    x = 370,801.65/652.69
  6. Step 6: Final answer
    x = 568.11

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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.