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Finding the Fourth Proportional to 523.15, 787.77 and 387.15

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Solution

The fourth proportional to 523.15, 787.77 and 387.15 is: 582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.15 : 787.77 = 387.15 : x
  2. Step 2: Convert to fraction form
    523.15/787.77 = 387.15/x
  3. Step 3: Cross multiply
    523.15x = 787.77 × 387.15
  4. Step 4: Simplify right side
    523.15x = 304,982.20
  5. Step 5: Solve for x
    x = 304,982.20/523.15
  6. Step 6: Final answer
    x = 582.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.