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Finding the Fourth Proportional to 545.40, 752.46 and 399.06

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Solution

The fourth proportional to 545.40, 752.46 and 399.06 is: 550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.40 : 752.46 = 399.06 : x
  2. Step 2: Convert to fraction form
    545.40/752.46 = 399.06/x
  3. Step 3: Cross multiply
    545.40x = 752.46 × 399.06
  4. Step 4: Simplify right side
    545.40x = 300,276.69
  5. Step 5: Solve for x
    x = 300,276.69/545.40
  6. Step 6: Final answer
    x = 550.56

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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.