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Finding the Fourth Proportional to 584.94, 872.24 and 545.22

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Solution

The fourth proportional to 584.94, 872.24 and 545.22 is: 813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.94 : 872.24 = 545.22 : x
  2. Step 2: Convert to fraction form
    584.94/872.24 = 545.22/x
  3. Step 3: Cross multiply
    584.94x = 872.24 × 545.22
  4. Step 4: Simplify right side
    584.94x = 475,562.69
  5. Step 5: Solve for x
    x = 475,562.69/584.94
  6. Step 6: Final answer
    x = 813.01

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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.