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Finding the Fourth Proportional to 545.80, 817.80 and 464.80

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Solution

The fourth proportional to 545.80, 817.80 and 464.80 is: 696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.80 : 817.80 = 464.80 : x
  2. Step 2: Convert to fraction form
    545.80/817.80 = 464.80/x
  3. Step 3: Cross multiply
    545.80x = 817.80 × 464.80
  4. Step 4: Simplify right side
    545.80x = 380,113.44
  5. Step 5: Solve for x
    x = 380,113.44/545.80
  6. Step 6: Final answer
    x = 696.43

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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.