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Finding the Fourth Proportional to 545.09, 816.91 and 284.56

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Solution

The fourth proportional to 545.09, 816.91 and 284.56 is: 426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.09 : 816.91 = 284.56 : x
  2. Step 2: Convert to fraction form
    545.09/816.91 = 284.56/x
  3. Step 3: Cross multiply
    545.09x = 816.91 × 284.56
  4. Step 4: Simplify right side
    545.09x = 232,457.16
  5. Step 5: Solve for x
    x = 232,457.16/545.09
  6. Step 6: Final answer
    x = 426.45

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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.