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Finding the Fourth Proportional to 563.58, 777.74 and 311.51

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Solution

The fourth proportional to 563.58, 777.74 and 311.51 is: 429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.58 : 777.74 = 311.51 : x
  2. Step 2: Convert to fraction form
    563.58/777.74 = 311.51/x
  3. Step 3: Cross multiply
    563.58x = 777.74 × 311.51
  4. Step 4: Simplify right side
    563.58x = 242,269.51
  5. Step 5: Solve for x
    x = 242,269.51/563.58
  6. Step 6: Final answer
    x = 429.88

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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.