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Finding the Fourth Proportional to 540.05, 745.54 and 319.07

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Solution

The fourth proportional to 540.05, 745.54 and 319.07 is: 440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.05 : 745.54 = 319.07 : x
  2. Step 2: Convert to fraction form
    540.05/745.54 = 319.07/x
  3. Step 3: Cross multiply
    540.05x = 745.54 × 319.07
  4. Step 4: Simplify right side
    540.05x = 237,879.45
  5. Step 5: Solve for x
    x = 237,879.45/540.05
  6. Step 6: Final answer
    x = 440.48

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1.5x scale

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.