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Finding the Fourth Proportional to 563.18, 777.54 and 353.66

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Solution

The fourth proportional to 563.18, 777.54 and 353.66 is: 488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.18 : 777.54 = 353.66 : x
  2. Step 2: Convert to fraction form
    563.18/777.54 = 353.66/x
  3. Step 3: Cross multiply
    563.18x = 777.54 × 353.66
  4. Step 4: Simplify right side
    563.18x = 274,984.80
  5. Step 5: Solve for x
    x = 274,984.80/563.18
  6. Step 6: Final answer
    x = 488.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.