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Finding the Fourth Proportional to 679.69, 938.14 and 414.31

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Solution

The fourth proportional to 679.69, 938.14 and 414.31 is: 571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.69 : 938.14 = 414.31 : x
  2. Step 2: Convert to fraction form
    679.69/938.14 = 414.31/x
  3. Step 3: Cross multiply
    679.69x = 938.14 × 414.31
  4. Step 4: Simplify right side
    679.69x = 388,681.49
  5. Step 5: Solve for x
    x = 388,681.49/679.69
  6. Step 6: Final answer
    x = 571.85

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1.5x scale

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.