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Finding the Fourth Proportional to 857.39, 1,286.10 and 491.99

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Solution

The fourth proportional to 857.39, 1,286.10 and 491.99 is: 737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.39 : 1,286.10 = 491.99 : x
  2. Step 2: Convert to fraction form
    857.39/1,286.10 = 491.99/x
  3. Step 3: Cross multiply
    857.39x = 1,286.10 × 491.99
  4. Step 4: Simplify right side
    857.39x = 632,741.91
  5. Step 5: Solve for x
    x = 632,741.91/857.39
  6. Step 6: Final answer
    x = 737.99

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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.