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Finding the Fourth Proportional to 859.38, 1,289.07 and 469.77

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Solution

The fourth proportional to 859.38, 1,289.07 and 469.77 is: 704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.38 : 1,289.07 = 469.77 : x
  2. Step 2: Convert to fraction form
    859.38/1,289.07 = 469.77/x
  3. Step 3: Cross multiply
    859.38x = 1,289.07 × 469.77
  4. Step 4: Simplify right side
    859.38x = 605,566.41
  5. Step 5: Solve for x
    x = 605,566.41/859.38
  6. Step 6: Final answer
    x = 704.66

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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.