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Finding the Fourth Proportional to 570.77, 787.67 and 308.79

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Solution

The fourth proportional to 570.77, 787.67 and 308.79 is: 426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.77 : 787.67 = 308.79 : x
  2. Step 2: Convert to fraction form
    570.77/787.67 = 308.79/x
  3. Step 3: Cross multiply
    570.77x = 787.67 × 308.79
  4. Step 4: Simplify right side
    570.77x = 243,221.15
  5. Step 5: Solve for x
    x = 243,221.15/570.77
  6. Step 6: Final answer
    x = 426.13

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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.