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Finding the Fourth Proportional to 511.32, 704.07 and 437.46

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Solution

The fourth proportional to 511.32, 704.07 and 437.46 is: 602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.32 : 704.07 = 437.46 : x
  2. Step 2: Convert to fraction form
    511.32/704.07 = 437.46/x
  3. Step 3: Cross multiply
    511.32x = 704.07 × 437.46
  4. Step 4: Simplify right side
    511.32x = 308,002.46
  5. Step 5: Solve for x
    x = 308,002.46/511.32
  6. Step 6: Final answer
    x = 602.37

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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.