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Finding the Fourth Proportional to 523.02, 787.57 and 387.01

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Solution

The fourth proportional to 523.02, 787.57 and 387.01 is: 582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.02 : 787.57 = 387.01 : x
  2. Step 2: Convert to fraction form
    523.02/787.57 = 387.01/x
  3. Step 3: Cross multiply
    523.02x = 787.57 × 387.01
  4. Step 4: Simplify right side
    523.02x = 304,797.47
  5. Step 5: Solve for x
    x = 304,797.47/523.02
  6. Step 6: Final answer
    x = 582.76

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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.