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Finding the Fourth Proportional to 618.58, 849.10 and 563.00

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Solution

The fourth proportional to 618.58, 849.10 and 563.00 is: 772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.58 : 849.10 = 563.00 : x
  2. Step 2: Convert to fraction form
    618.58/849.10 = 563.00/x
  3. Step 3: Cross multiply
    618.58x = 849.10 × 563.00
  4. Step 4: Simplify right side
    618.58x = 478,037.65
  5. Step 5: Solve for x
    x = 478,037.65/618.58
  6. Step 6: Final answer
    x = 772.80

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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.