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Finding the Fourth Proportional to 697.61, 1,047.46 and 439.25

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Solution

The fourth proportional to 697.61, 1,047.46 and 439.25 is: 659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.61 : 1,047.46 = 439.25 : x
  2. Step 2: Convert to fraction form
    697.61/1,047.46 = 439.25/x
  3. Step 3: Cross multiply
    697.61x = 1,047.46 × 439.25
  4. Step 4: Simplify right side
    697.61x = 460,096.81
  5. Step 5: Solve for x
    x = 460,096.81/697.61
  6. Step 6: Final answer
    x = 659.53

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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.