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Finding the Fourth Proportional to 652.46, 978.13 and 262.22

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Solution

The fourth proportional to 652.46, 978.13 and 262.22 is: 393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.46 : 978.13 = 262.22 : x
  2. Step 2: Convert to fraction form
    652.46/978.13 = 262.22/x
  3. Step 3: Cross multiply
    652.46x = 978.13 × 262.22
  4. Step 4: Simplify right side
    652.46x = 256,485.25
  5. Step 5: Solve for x
    x = 256,485.25/652.46
  6. Step 6: Final answer
    x = 393.10

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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.