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Finding the Fourth Proportional to 859.99, 1,290.29 and 494.27

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Solution

The fourth proportional to 859.99, 1,290.29 and 494.27 is: 741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.99 : 1,290.29 = 494.27 : x
  2. Step 2: Convert to fraction form
    859.99/1,290.29 = 494.27/x
  3. Step 3: Cross multiply
    859.99x = 1,290.29 × 494.27
  4. Step 4: Simplify right side
    859.99x = 637,752.39
  5. Step 5: Solve for x
    x = 637,752.39/859.99
  6. Step 6: Final answer
    x = 741.58

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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.