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Finding the Fourth Proportional to 437.27, 599.51 and 429.47

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Solution

The fourth proportional to 437.27, 599.51 and 429.47 is: 588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.27 : 599.51 = 429.47 : x
  2. Step 2: Convert to fraction form
    437.27/599.51 = 429.47/x
  3. Step 3: Cross multiply
    437.27x = 599.51 × 429.47
  4. Step 4: Simplify right side
    437.27x = 257,471.56
  5. Step 5: Solve for x
    x = 257,471.56/437.27
  6. Step 6: Final answer
    x = 588.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.