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Finding the Fourth Proportional to 738.66, 1,019.97 and 506.46

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Solution

The fourth proportional to 738.66, 1,019.97 and 506.46 is: 699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.66 : 1,019.97 = 506.46 : x
  2. Step 2: Convert to fraction form
    738.66/1,019.97 = 506.46/x
  3. Step 3: Cross multiply
    738.66x = 1,019.97 × 506.46
  4. Step 4: Simplify right side
    738.66x = 516,574.01
  5. Step 5: Solve for x
    x = 516,574.01/738.66
  6. Step 6: Final answer
    x = 699.34

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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.