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Finding the Fourth Proportional to 545.80, 822.34 and 472.90

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Solution

The fourth proportional to 545.80, 822.34 and 472.90 is: 712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.80 : 822.34 = 472.90 : x
  2. Step 2: Convert to fraction form
    545.80/822.34 = 472.90/x
  3. Step 3: Cross multiply
    545.80x = 822.34 × 472.90
  4. Step 4: Simplify right side
    545.80x = 388,884.59
  5. Step 5: Solve for x
    x = 388,884.59/545.80
  6. Step 6: Final answer
    x = 712.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.