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Finding the Fourth Proportional to 568.14, 787.34 and 561.18

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Solution

The fourth proportional to 568.14, 787.34 and 561.18 is: 777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.14 : 787.34 = 561.18 : x
  2. Step 2: Convert to fraction form
    568.14/787.34 = 561.18/x
  3. Step 3: Cross multiply
    568.14x = 787.34 × 561.18
  4. Step 4: Simplify right side
    568.14x = 441,836.66
  5. Step 5: Solve for x
    x = 441,836.66/568.14
  6. Step 6: Final answer
    x = 777.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.