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Finding the Fourth Proportional to 738.81, 1,016.51 and 720.58

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Solution

The fourth proportional to 738.81, 1,016.51 and 720.58 is: 991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.81 : 1,016.51 = 720.58 : x
  2. Step 2: Convert to fraction form
    738.81/1,016.51 = 720.58/x
  3. Step 3: Cross multiply
    738.81x = 1,016.51 × 720.58
  4. Step 4: Simplify right side
    738.81x = 732,476.78
  5. Step 5: Solve for x
    x = 732,476.78/738.81
  6. Step 6: Final answer
    x = 991.43

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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.