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Finding the Fourth Proportional to 563.41, 777.46 and 314.74

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Solution

The fourth proportional to 563.41, 777.46 and 314.74 is: 434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.41 : 777.46 = 314.74 : x
  2. Step 2: Convert to fraction form
    563.41/777.46 = 314.74/x
  3. Step 3: Cross multiply
    563.41x = 777.46 × 314.74
  4. Step 4: Simplify right side
    563.41x = 244,697.76
  5. Step 5: Solve for x
    x = 244,697.76/563.41
  6. Step 6: Final answer
    x = 434.32

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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.