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Finding the Fourth Proportional to 545.84, 753.24 and 309.78

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Solution

The fourth proportional to 545.84, 753.24 and 309.78 is: 427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.84 : 753.24 = 309.78 : x
  2. Step 2: Convert to fraction form
    545.84/753.24 = 309.78/x
  3. Step 3: Cross multiply
    545.84x = 753.24 × 309.78
  4. Step 4: Simplify right side
    545.84x = 233,338.69
  5. Step 5: Solve for x
    x = 233,338.69/545.84
  6. Step 6: Final answer
    x = 427.49

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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.