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Finding the Fourth Proportional to 545.19, 817.83 and 397.62

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Solution

The fourth proportional to 545.19, 817.83 and 397.62 is: 596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.19 : 817.83 = 397.62 : x
  2. Step 2: Convert to fraction form
    545.19/817.83 = 397.62/x
  3. Step 3: Cross multiply
    545.19x = 817.83 × 397.62
  4. Step 4: Simplify right side
    545.19x = 325,185.56
  5. Step 5: Solve for x
    x = 325,185.56/545.19
  6. Step 6: Final answer
    x = 596.46

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1.5x scale

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.