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Finding the Fourth Proportional to 585.21, 872.95 and 576.10

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Solution

The fourth proportional to 585.21, 872.95 and 576.10 is: 859.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.21 : 872.95 = 576.10 : x
  2. Step 2: Convert to fraction form
    585.21/872.95 = 576.10/x
  3. Step 3: Cross multiply
    585.21x = 872.95 × 576.10
  4. Step 4: Simplify right side
    585.21x = 502,906.50
  5. Step 5: Solve for x
    x = 502,906.50/585.21
  6. Step 6: Final answer
    x = 859.36

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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.