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Finding the Fourth Proportional to 857.96, 1,291.96 and 616.17

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Solution

The fourth proportional to 857.96, 1,291.96 and 616.17 is: 927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.96 : 1,291.96 = 616.17 : x
  2. Step 2: Convert to fraction form
    857.96/1,291.96 = 616.17/x
  3. Step 3: Cross multiply
    857.96x = 1,291.96 × 616.17
  4. Step 4: Simplify right side
    857.96x = 796,066.99
  5. Step 5: Solve for x
    x = 796,066.99/857.96
  6. Step 6: Final answer
    x = 927.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.