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Finding the Fourth Proportional to 652.24, 978.10 and 286.78

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Solution

The fourth proportional to 652.24, 978.10 and 286.78 is: 430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.24 : 978.10 = 286.78 : x
  2. Step 2: Convert to fraction form
    652.24/978.10 = 286.78/x
  3. Step 3: Cross multiply
    652.24x = 978.10 × 286.78
  4. Step 4: Simplify right side
    652.24x = 280,499.52
  5. Step 5: Solve for x
    x = 280,499.52/652.24
  6. Step 6: Final answer
    x = 430.06

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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.