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Finding the Fourth Proportional to 940.61, 1,411.40 and 385.73

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Solution

The fourth proportional to 940.61, 1,411.40 and 385.73 is: 578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.61 : 1,411.40 = 385.73 : x
  2. Step 2: Convert to fraction form
    940.61/1,411.40 = 385.73/x
  3. Step 3: Cross multiply
    940.61x = 1,411.40 × 385.73
  4. Step 4: Simplify right side
    940.61x = 544,411.78
  5. Step 5: Solve for x
    x = 544,411.78/940.61
  6. Step 6: Final answer
    x = 578.78

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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.