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Finding the Fourth Proportional to 545.76, 753.20 and 346.56

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Solution

The fourth proportional to 545.76, 753.20 and 346.56 is: 478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 753.20 = 346.56 : x
  2. Step 2: Convert to fraction form
    545.76/753.20 = 346.56/x
  3. Step 3: Cross multiply
    545.76x = 753.20 × 346.56
  4. Step 4: Simplify right side
    545.76x = 261,028.99
  5. Step 5: Solve for x
    x = 261,028.99/545.76
  6. Step 6: Final answer
    x = 478.29

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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.