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Finding the Fourth Proportional to 652.09, 978.12 and 286.78

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Solution

The fourth proportional to 652.09, 978.12 and 286.78 is: 430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.09 : 978.12 = 286.78 : x
  2. Step 2: Convert to fraction form
    652.09/978.12 = 286.78/x
  3. Step 3: Cross multiply
    652.09x = 978.12 × 286.78
  4. Step 4: Simplify right side
    652.09x = 280,505.25
  5. Step 5: Solve for x
    x = 280,505.25/652.09
  6. Step 6: Final answer
    x = 430.16

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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.