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Finding the Fourth Proportional to 585.81, 872.25 and 577.05

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Solution

The fourth proportional to 585.81, 872.25 and 577.05 is: 859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.81 : 872.25 = 577.05 : x
  2. Step 2: Convert to fraction form
    585.81/872.25 = 577.05/x
  3. Step 3: Cross multiply
    585.81x = 872.25 × 577.05
  4. Step 4: Simplify right side
    585.81x = 503,331.86
  5. Step 5: Solve for x
    x = 503,331.86/585.81
  6. Step 6: Final answer
    x = 859.21

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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.