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Finding the Fourth Proportional to 651.54, 897.89 and 511.31

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Solution

The fourth proportional to 651.54, 897.89 and 511.31 is: 704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.54 : 897.89 = 511.31 : x
  2. Step 2: Convert to fraction form
    651.54/897.89 = 511.31/x
  3. Step 3: Cross multiply
    651.54x = 897.89 × 511.31
  4. Step 4: Simplify right side
    651.54x = 459,099.82
  5. Step 5: Solve for x
    x = 459,099.82/651.54
  6. Step 6: Final answer
    x = 704.63

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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.