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Finding the Fourth Proportional to 545.96, 819.66 and 289.64

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Solution

The fourth proportional to 545.96, 819.66 and 289.64 is: 434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.96 : 819.66 = 289.64 : x
  2. Step 2: Convert to fraction form
    545.96/819.66 = 289.64/x
  3. Step 3: Cross multiply
    545.96x = 819.66 × 289.64
  4. Step 4: Simplify right side
    545.96x = 237,406.32
  5. Step 5: Solve for x
    x = 237,406.32/545.96
  6. Step 6: Final answer
    x = 434.84

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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.