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Finding the Fourth Proportional to 585.23, 872.68 and 556.52

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Solution

The fourth proportional to 585.23, 872.68 and 556.52 is: 829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.23 : 872.68 = 556.52 : x
  2. Step 2: Convert to fraction form
    585.23/872.68 = 556.52/x
  3. Step 3: Cross multiply
    585.23x = 872.68 × 556.52
  4. Step 4: Simplify right side
    585.23x = 485,663.87
  5. Step 5: Solve for x
    x = 485,663.87/585.23
  6. Step 6: Final answer
    x = 829.87

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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.