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Finding the Fourth Proportional to 585.21, 872.61 and 559.83

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Solution

The fourth proportional to 585.21, 872.61 and 559.83 is: 834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.21 : 872.61 = 559.83 : x
  2. Step 2: Convert to fraction form
    585.21/872.61 = 559.83/x
  3. Step 3: Cross multiply
    585.21x = 872.61 × 559.83
  4. Step 4: Simplify right side
    585.21x = 488,513.26
  5. Step 5: Solve for x
    x = 488,513.26/585.21
  6. Step 6: Final answer
    x = 834.77

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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.