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Finding the Fourth Proportional to 652.65, 978.60 and 378.66

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Solution

The fourth proportional to 652.65, 978.60 and 378.66 is: 567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.65 : 978.60 = 378.66 : x
  2. Step 2: Convert to fraction form
    652.65/978.60 = 378.66/x
  3. Step 3: Cross multiply
    652.65x = 978.60 × 378.66
  4. Step 4: Simplify right side
    652.65x = 370,556.68
  5. Step 5: Solve for x
    x = 370,556.68/652.65
  6. Step 6: Final answer
    x = 567.77

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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.