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Finding the Fourth Proportional to 859.46, 1,289.18 and 372.86

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Solution

The fourth proportional to 859.46, 1,289.18 and 372.86 is: 559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.46 : 1,289.18 = 372.86 : x
  2. Step 2: Convert to fraction form
    859.46/1,289.18 = 372.86/x
  3. Step 3: Cross multiply
    859.46x = 1,289.18 × 372.86
  4. Step 4: Simplify right side
    859.46x = 480,675.34
  5. Step 5: Solve for x
    x = 480,675.34/859.46
  6. Step 6: Final answer
    x = 559.28

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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.