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Finding the Fourth Proportional to 545.09, 816.66 and 458.96

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Solution

The fourth proportional to 545.09, 816.66 and 458.96 is: 687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.09 : 816.66 = 458.96 : x
  2. Step 2: Convert to fraction form
    545.09/816.66 = 458.96/x
  3. Step 3: Cross multiply
    545.09x = 816.66 × 458.96
  4. Step 4: Simplify right side
    545.09x = 374,816.32
  5. Step 5: Solve for x
    x = 374,816.32/545.09
  6. Step 6: Final answer
    x = 687.62

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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.