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Finding the Fourth Proportional to 856.61, 1,284.54 and 343.25

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Solution

The fourth proportional to 856.61, 1,284.54 and 343.25 is: 514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.61 : 1,284.54 = 343.25 : x
  2. Step 2: Convert to fraction form
    856.61/1,284.54 = 343.25/x
  3. Step 3: Cross multiply
    856.61x = 1,284.54 × 343.25
  4. Step 4: Simplify right side
    856.61x = 440,918.36
  5. Step 5: Solve for x
    x = 440,918.36/856.61
  6. Step 6: Final answer
    x = 514.72

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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.