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Finding the Fourth Proportional to 651.26, 897.70 and 511.16

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Solution

The fourth proportional to 651.26, 897.70 and 511.16 is: 704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.26 : 897.70 = 511.16 : x
  2. Step 2: Convert to fraction form
    651.26/897.70 = 511.16/x
  3. Step 3: Cross multiply
    651.26x = 897.70 × 511.16
  4. Step 4: Simplify right side
    651.26x = 458,868.33
  5. Step 5: Solve for x
    x = 458,868.33/651.26
  6. Step 6: Final answer
    x = 704.59

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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.