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Finding the Fourth Proportional to 584.24, 871.66 and 556.72

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Solution

The fourth proportional to 584.24, 871.66 and 556.72 is: 830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.24 : 871.66 = 556.72 : x
  2. Step 2: Convert to fraction form
    584.24/871.66 = 556.72/x
  3. Step 3: Cross multiply
    584.24x = 871.66 × 556.72
  4. Step 4: Simplify right side
    584.24x = 485,270.56
  5. Step 5: Solve for x
    x = 485,270.56/584.24
  6. Step 6: Final answer
    x = 830.60

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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.