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Finding the Fourth Proportional to 545.96, 752.91 and 359.12

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Solution

The fourth proportional to 545.96, 752.91 and 359.12 is: 495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.96 : 752.91 = 359.12 : x
  2. Step 2: Convert to fraction form
    545.96/752.91 = 359.12/x
  3. Step 3: Cross multiply
    545.96x = 752.91 × 359.12
  4. Step 4: Simplify right side
    545.96x = 270,385.04
  5. Step 5: Solve for x
    x = 270,385.04/545.96
  6. Step 6: Final answer
    x = 495.25

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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.