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Finding the Fourth Proportional to 618.46, 848.68 and 562.78

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Solution

The fourth proportional to 618.46, 848.68 and 562.78 is: 772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.46 : 848.68 = 562.78 : x
  2. Step 2: Convert to fraction form
    618.46/848.68 = 562.78/x
  3. Step 3: Cross multiply
    618.46x = 848.68 × 562.78
  4. Step 4: Simplify right side
    618.46x = 477,620.13
  5. Step 5: Solve for x
    x = 477,620.13/618.46
  6. Step 6: Final answer
    x = 772.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.