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Finding the Fourth Proportional to 697.86, 1,047.35 and 389.66

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Solution

The fourth proportional to 697.86, 1,047.35 and 389.66 is: 584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.86 : 1,047.35 = 389.66 : x
  2. Step 2: Convert to fraction form
    697.86/1,047.35 = 389.66/x
  3. Step 3: Cross multiply
    697.86x = 1,047.35 × 389.66
  4. Step 4: Simplify right side
    697.86x = 408,103.22
  5. Step 5: Solve for x
    x = 408,103.22/697.86
  6. Step 6: Final answer
    x = 584.79

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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.