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Finding the Fourth Proportional to 738.33, 1,019.93 and 699.45

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Solution

The fourth proportional to 738.33, 1,019.93 and 699.45 is: 966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.33 : 1,019.93 = 699.45 : x
  2. Step 2: Convert to fraction form
    738.33/1,019.93 = 699.45/x
  3. Step 3: Cross multiply
    738.33x = 1,019.93 × 699.45
  4. Step 4: Simplify right side
    738.33x = 713,381.44
  5. Step 5: Solve for x
    x = 713,381.44/738.33
  6. Step 6: Final answer
    x = 966.22

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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.