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Finding the Fourth Proportional to 563.59, 777.90 and 353.89

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Solution

The fourth proportional to 563.59, 777.90 and 353.89 is: 488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.59 : 777.90 = 353.89 : x
  2. Step 2: Convert to fraction form
    563.59/777.90 = 353.89/x
  3. Step 3: Cross multiply
    563.59x = 777.90 × 353.89
  4. Step 4: Simplify right side
    563.59x = 275,291.03
  5. Step 5: Solve for x
    x = 275,291.03/563.59
  6. Step 6: Final answer
    x = 488.46

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