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Finding the Fourth Proportional to 524, 789.05 and 388.01

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Solution

The fourth proportional to 524, 789.05 and 388.01 is: 584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    524 : 789.05 = 388.01 : x
  2. Step 2: Convert to fraction form
    524/789.05 = 388.01/x
  3. Step 3: Cross multiply
    524x = 789.05 × 388.01
  4. Step 4: Simplify right side
    524x = 306,159.29
  5. Step 5: Solve for x
    x = 306,159.29/524
  6. Step 6: Final answer
    x = 584.27

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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.