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Finding the Fourth Proportional to 545.70, 755.01 and 462.54

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Solution

The fourth proportional to 545.70, 755.01 and 462.54 is: 639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.70 : 755.01 = 462.54 : x
  2. Step 2: Convert to fraction form
    545.70/755.01 = 462.54/x
  3. Step 3: Cross multiply
    545.70x = 755.01 × 462.54
  4. Step 4: Simplify right side
    545.70x = 349,222.33
  5. Step 5: Solve for x
    x = 349,222.33/545.70
  6. Step 6: Final answer
    x = 639.95

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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.