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Finding the Fourth Proportional to 697.84, 1,047.76 and 438.92

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Solution

The fourth proportional to 697.84, 1,047.76 and 438.92 is: 659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.84 : 1,047.76 = 438.92 : x
  2. Step 2: Convert to fraction form
    697.84/1,047.76 = 438.92/x
  3. Step 3: Cross multiply
    697.84x = 1,047.76 × 438.92
  4. Step 4: Simplify right side
    697.84x = 459,882.82
  5. Step 5: Solve for x
    x = 459,882.82/697.84
  6. Step 6: Final answer
    x = 659.01

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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.