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Finding the Fourth Proportional to 545.04, 752.13 and 324.02

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Solution

The fourth proportional to 545.04, 752.13 and 324.02 is: 447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.04 : 752.13 = 324.02 : x
  2. Step 2: Convert to fraction form
    545.04/752.13 = 324.02/x
  3. Step 3: Cross multiply
    545.04x = 752.13 × 324.02
  4. Step 4: Simplify right side
    545.04x = 243,701.40
  5. Step 5: Solve for x
    x = 243,701.40/545.04
  6. Step 6: Final answer
    x = 447.13

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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.