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Finding the Fourth Proportional to 552.27, 761.58 and 427.71

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Solution

The fourth proportional to 552.27, 761.58 and 427.71 is: 589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.27 : 761.58 = 427.71 : x
  2. Step 2: Convert to fraction form
    552.27/761.58 = 427.71/x
  3. Step 3: Cross multiply
    552.27x = 761.58 × 427.71
  4. Step 4: Simplify right side
    552.27x = 325,735.38
  5. Step 5: Solve for x
    x = 325,735.38/552.27
  6. Step 6: Final answer
    x = 589.81

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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.