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Finding the Fourth Proportional to 859.61, 1,288.69 and 346.97

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Solution

The fourth proportional to 859.61, 1,288.69 and 346.97 is: 520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.61 : 1,288.69 = 346.97 : x
  2. Step 2: Convert to fraction form
    859.61/1,288.69 = 346.97/x
  3. Step 3: Cross multiply
    859.61x = 1,288.69 × 346.97
  4. Step 4: Simplify right side
    859.61x = 447,136.77
  5. Step 5: Solve for x
    x = 447,136.77/859.61
  6. Step 6: Final answer
    x = 520.16

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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.