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Finding the Fourth Proportional to 545.96, 817.59 and 423.20

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Solution

The fourth proportional to 545.96, 817.59 and 423.20 is: 633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.96 : 817.59 = 423.20 : x
  2. Step 2: Convert to fraction form
    545.96/817.59 = 423.20/x
  3. Step 3: Cross multiply
    545.96x = 817.59 × 423.20
  4. Step 4: Simplify right side
    545.96x = 346,004.09
  5. Step 5: Solve for x
    x = 346,004.09/545.96
  6. Step 6: Final answer
    x = 633.75

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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.