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Finding the Fourth Proportional to 563.48, 777.60 and 314.80

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Solution

The fourth proportional to 563.48, 777.60 and 314.80 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.48 : 777.60 = 314.80 : x
  2. Step 2: Convert to fraction form
    563.48/777.60 = 314.80/x
  3. Step 3: Cross multiply
    563.48x = 777.60 × 314.80
  4. Step 4: Simplify right side
    563.48x = 244,788.48
  5. Step 5: Solve for x
    x = 244,788.48/563.48
  6. Step 6: Final answer
    x = 434.42

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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.