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Finding the Fourth Proportional to 584.82, 872.78 and 545.94

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Solution

The fourth proportional to 584.82, 872.78 and 545.94 is: 814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.82 : 872.78 = 545.94 : x
  2. Step 2: Convert to fraction form
    584.82/872.78 = 545.94/x
  3. Step 3: Cross multiply
    584.82x = 872.78 × 545.94
  4. Step 4: Simplify right side
    584.82x = 476,485.51
  5. Step 5: Solve for x
    x = 476,485.51/584.82
  6. Step 6: Final answer
    x = 814.76

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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.