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Finding the Fourth Proportional to 545.81, 752.72 and 406.28

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Solution

The fourth proportional to 545.81, 752.72 and 406.28 is: 560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.81 : 752.72 = 406.28 : x
  2. Step 2: Convert to fraction form
    545.81/752.72 = 406.28/x
  3. Step 3: Cross multiply
    545.81x = 752.72 × 406.28
  4. Step 4: Simplify right side
    545.81x = 305,817.98
  5. Step 5: Solve for x
    x = 305,817.98/545.81
  6. Step 6: Final answer
    x = 560.30

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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.