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Finding the Fourth Proportional to 584.19, 871.12 and 544.47

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Solution

The fourth proportional to 584.19, 871.12 and 544.47 is: 811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.19 : 871.12 = 544.47 : x
  2. Step 2: Convert to fraction form
    584.19/871.12 = 544.47/x
  3. Step 3: Cross multiply
    584.19x = 871.12 × 544.47
  4. Step 4: Simplify right side
    584.19x = 474,297.35
  5. Step 5: Solve for x
    x = 474,297.35/584.19
  6. Step 6: Final answer
    x = 811.89

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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.