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Finding the Fourth Proportional to 697.71, 1,046.97 and 264.90

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Solution

The fourth proportional to 697.71, 1,046.97 and 264.90 is: 397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.71 : 1,046.97 = 264.90 : x
  2. Step 2: Convert to fraction form
    697.71/1,046.97 = 264.90/x
  3. Step 3: Cross multiply
    697.71x = 1,046.97 × 264.90
  4. Step 4: Simplify right side
    697.71x = 277,342.35
  5. Step 5: Solve for x
    x = 277,342.35/697.71
  6. Step 6: Final answer
    x = 397.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.