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Finding the Fourth Proportional to 697.53, 961.93 and 511.18

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Solution

The fourth proportional to 697.53, 961.93 and 511.18 is: 704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.53 : 961.93 = 511.18 : x
  2. Step 2: Convert to fraction form
    697.53/961.93 = 511.18/x
  3. Step 3: Cross multiply
    697.53x = 961.93 × 511.18
  4. Step 4: Simplify right side
    697.53x = 491,714.74
  5. Step 5: Solve for x
    x = 491,714.74/697.53
  6. Step 6: Final answer
    x = 704.94

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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.