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Finding the Fourth Proportional to 940.97, 1,411.25 and 355.95

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Solution

The fourth proportional to 940.97, 1,411.25 and 355.95 is: 533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.97 : 1,411.25 = 355.95 : x
  2. Step 2: Convert to fraction form
    940.97/1,411.25 = 355.95/x
  3. Step 3: Cross multiply
    940.97x = 1,411.25 × 355.95
  4. Step 4: Simplify right side
    940.97x = 502,332.66
  5. Step 5: Solve for x
    x = 502,332.66/940.97
  6. Step 6: Final answer
    x = 533.85

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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.