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Finding the Fourth Proportional to 967.96, 1,335.91 and 614.06

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Solution

The fourth proportional to 967.96, 1,335.91 and 614.06 is: 847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.96 : 1,335.91 = 614.06 : x
  2. Step 2: Convert to fraction form
    967.96/1,335.91 = 614.06/x
  3. Step 3: Cross multiply
    967.96x = 1,335.91 × 614.06
  4. Step 4: Simplify right side
    967.96x = 820,322.22
  5. Step 5: Solve for x
    x = 820,322.22/967.96
  6. Step 6: Final answer
    x = 847.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.