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Finding the Fourth Proportional to 545.37, 751.99 and 414.15

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Solution

The fourth proportional to 545.37, 751.99 and 414.15 is: 571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.37 : 751.99 = 414.15 : x
  2. Step 2: Convert to fraction form
    545.37/751.99 = 414.15/x
  3. Step 3: Cross multiply
    545.37x = 751.99 × 414.15
  4. Step 4: Simplify right side
    545.37x = 311,434.59
  5. Step 5: Solve for x
    x = 311,434.59/545.37
  6. Step 6: Final answer
    x = 571.05

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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.