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Finding the Fourth Proportional to 697.90, 1,046.44 and 264.96

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Solution

The fourth proportional to 697.90, 1,046.44 and 264.96 is: 397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.90 : 1,046.44 = 264.96 : x
  2. Step 2: Convert to fraction form
    697.90/1,046.44 = 264.96/x
  3. Step 3: Cross multiply
    697.90x = 1,046.44 × 264.96
  4. Step 4: Simplify right side
    697.90x = 277,259.51
  5. Step 5: Solve for x
    x = 277,259.51/697.90
  6. Step 6: Final answer
    x = 397.28

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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.