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Finding the Fourth Proportional to 787.86, 1,086.75 and 567.27

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Solution

The fourth proportional to 787.86, 1,086.75 and 567.27 is: 782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.86 : 1,086.75 = 567.27 : x
  2. Step 2: Convert to fraction form
    787.86/1,086.75 = 567.27/x
  3. Step 3: Cross multiply
    787.86x = 1,086.75 × 567.27
  4. Step 4: Simplify right side
    787.86x = 616,480.67
  5. Step 5: Solve for x
    x = 616,480.67/787.86
  6. Step 6: Final answer
    x = 782.47

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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.