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Finding the Fourth Proportional to 859.24, 1,289.40 and 426.43

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Solution

The fourth proportional to 859.24, 1,289.40 and 426.43 is: 639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.24 : 1,289.40 = 426.43 : x
  2. Step 2: Convert to fraction form
    859.24/1,289.40 = 426.43/x
  3. Step 3: Cross multiply
    859.24x = 1,289.40 × 426.43
  4. Step 4: Simplify right side
    859.24x = 549,838.84
  5. Step 5: Solve for x
    x = 549,838.84/859.24
  6. Step 6: Final answer
    x = 639.91

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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.