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Finding the Fourth Proportional to 545.33, 816.89 and 442.06

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Solution

The fourth proportional to 545.33, 816.89 and 442.06 is: 662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.33 : 816.89 = 442.06 : x
  2. Step 2: Convert to fraction form
    545.33/816.89 = 442.06/x
  3. Step 3: Cross multiply
    545.33x = 816.89 × 442.06
  4. Step 4: Simplify right side
    545.33x = 361,110.14
  5. Step 5: Solve for x
    x = 361,110.14/545.33
  6. Step 6: Final answer
    x = 662.18

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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.