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Finding the Fourth Proportional to 545.22, 815.94 and 522.54

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Solution

The fourth proportional to 545.22, 815.94 and 522.54 is: 782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.22 : 815.94 = 522.54 : x
  2. Step 2: Convert to fraction form
    545.22/815.94 = 522.54/x
  3. Step 3: Cross multiply
    545.22x = 815.94 × 522.54
  4. Step 4: Simplify right side
    545.22x = 426,361.29
  5. Step 5: Solve for x
    x = 426,361.29/545.22
  6. Step 6: Final answer
    x = 782.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.