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Finding the Fourth Proportional to 545.43, 752.73 and 309.40

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Solution

The fourth proportional to 545.43, 752.73 and 309.40 is: 426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.43 : 752.73 = 309.40 : x
  2. Step 2: Convert to fraction form
    545.43/752.73 = 309.40/x
  3. Step 3: Cross multiply
    545.43x = 752.73 × 309.40
  4. Step 4: Simplify right side
    545.43x = 232,894.66
  5. Step 5: Solve for x
    x = 232,894.66/545.43
  6. Step 6: Final answer
    x = 426.99

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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.