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Finding the Fourth Proportional to 668.33, 919.35 and 543.71

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Solution

The fourth proportional to 668.33, 919.35 and 543.71 is: 747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.33 : 919.35 = 543.71 : x
  2. Step 2: Convert to fraction form
    668.33/919.35 = 543.71/x
  3. Step 3: Cross multiply
    668.33x = 919.35 × 543.71
  4. Step 4: Simplify right side
    668.33x = 499,855.19
  5. Step 5: Solve for x
    x = 499,855.19/668.33
  6. Step 6: Final answer
    x = 747.92

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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.