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Finding the Fourth Proportional to 563.68, 777.94 and 354.02

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Solution

The fourth proportional to 563.68, 777.94 and 354.02 is: 488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.68 : 777.94 = 354.02 : x
  2. Step 2: Convert to fraction form
    563.68/777.94 = 354.02/x
  3. Step 3: Cross multiply
    563.68x = 777.94 × 354.02
  4. Step 4: Simplify right side
    563.68x = 275,407.41
  5. Step 5: Solve for x
    x = 275,407.41/563.68
  6. Step 6: Final answer
    x = 488.58

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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.