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Finding the Fourth Proportional to 697.77, 1,046.12 and 312.75

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Solution

The fourth proportional to 697.77, 1,046.12 and 312.75 is: 468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.77 : 1,046.12 = 312.75 : x
  2. Step 2: Convert to fraction form
    697.77/1,046.12 = 312.75/x
  3. Step 3: Cross multiply
    697.77x = 1,046.12 × 312.75
  4. Step 4: Simplify right side
    697.77x = 327,172.47
  5. Step 5: Solve for x
    x = 327,172.47/697.77
  6. Step 6: Final answer
    x = 468.88

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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.