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Finding the Fourth Proportional to 540.70, 745.81 and 341.34

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Solution

The fourth proportional to 540.70, 745.81 and 341.34 is: 470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.70 : 745.81 = 341.34 : x
  2. Step 2: Convert to fraction form
    540.70/745.81 = 341.34/x
  3. Step 3: Cross multiply
    540.70x = 745.81 × 341.34
  4. Step 4: Simplify right side
    540.70x = 254,574.79
  5. Step 5: Solve for x
    x = 254,574.79/540.70
  6. Step 6: Final answer
    x = 470.82

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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.