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Finding the Fourth Proportional to 697.10, 1,046.17 and 258.76

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Solution

The fourth proportional to 697.10, 1,046.17 and 258.76 is: 388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.10 : 1,046.17 = 258.76 : x
  2. Step 2: Convert to fraction form
    697.10/1,046.17 = 258.76/x
  3. Step 3: Cross multiply
    697.10x = 1,046.17 × 258.76
  4. Step 4: Simplify right side
    697.10x = 270,706.95
  5. Step 5: Solve for x
    x = 270,706.95/697.10
  6. Step 6: Final answer
    x = 388.34

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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.