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Finding the Fourth Proportional to 545.26, 752.46 and 324.23

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Solution

The fourth proportional to 545.26, 752.46 and 324.23 is: 447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.26 : 752.46 = 324.23 : x
  2. Step 2: Convert to fraction form
    545.26/752.46 = 324.23/x
  3. Step 3: Cross multiply
    545.26x = 752.46 × 324.23
  4. Step 4: Simplify right side
    545.26x = 243,970.11
  5. Step 5: Solve for x
    x = 243,970.11/545.26
  6. Step 6: Final answer
    x = 447.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.