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Finding the Fourth Proportional to 585.19, 877.61 and 482.22

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Solution

The fourth proportional to 585.19, 877.61 and 482.22 is: 723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.19 : 877.61 = 482.22 : x
  2. Step 2: Convert to fraction form
    585.19/877.61 = 482.22/x
  3. Step 3: Cross multiply
    585.19x = 877.61 × 482.22
  4. Step 4: Simplify right side
    585.19x = 423,198.68
  5. Step 5: Solve for x
    x = 423,198.68/585.19
  6. Step 6: Final answer
    x = 723.18

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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.