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Finding the Fourth Proportional to 585.49, 884.88 and 575.41

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Solution

The fourth proportional to 585.49, 884.88 and 575.41 is: 869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.49 : 884.88 = 575.41 : x
  2. Step 2: Convert to fraction form
    585.49/884.88 = 575.41/x
  3. Step 3: Cross multiply
    585.49x = 884.88 × 575.41
  4. Step 4: Simplify right side
    585.49x = 509,168.80
  5. Step 5: Solve for x
    x = 509,168.80/585.49
  6. Step 6: Final answer
    x = 869.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.