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Finding the Fourth Proportional to 585.39, 873.21 and 499.26

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Solution

The fourth proportional to 585.39, 873.21 and 499.26 is: 744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.39 : 873.21 = 499.26 : x
  2. Step 2: Convert to fraction form
    585.39/873.21 = 499.26/x
  3. Step 3: Cross multiply
    585.39x = 873.21 × 499.26
  4. Step 4: Simplify right side
    585.39x = 435,958.82
  5. Step 5: Solve for x
    x = 435,958.82/585.39
  6. Step 6: Final answer
    x = 744.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.