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Finding the Fourth Proportional to 738.97, 1,019.77 and 407.41

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Solution

The fourth proportional to 738.97, 1,019.77 and 407.41 is: 562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.97 : 1,019.77 = 407.41 : x
  2. Step 2: Convert to fraction form
    738.97/1,019.77 = 407.41/x
  3. Step 3: Cross multiply
    738.97x = 1,019.77 × 407.41
  4. Step 4: Simplify right side
    738.97x = 415,470.46
  5. Step 5: Solve for x
    x = 415,470.46/738.97
  6. Step 6: Final answer
    x = 562.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.