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Finding the Fourth Proportional to 754.46, 1,130.82 and 388.81

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Solution

The fourth proportional to 754.46, 1,130.82 and 388.81 is: 582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.46 : 1,130.82 = 388.81 : x
  2. Step 2: Convert to fraction form
    754.46/1,130.82 = 388.81/x
  3. Step 3: Cross multiply
    754.46x = 1,130.82 × 388.81
  4. Step 4: Simplify right side
    754.46x = 439,674.12
  5. Step 5: Solve for x
    x = 439,674.12/754.46
  6. Step 6: Final answer
    x = 582.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.