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Finding the Fourth Proportional to 540.47, 745.70 and 319.25

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Solution

The fourth proportional to 540.47, 745.70 and 319.25 is: 440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.47 : 745.70 = 319.25 : x
  2. Step 2: Convert to fraction form
    540.47/745.70 = 319.25/x
  3. Step 3: Cross multiply
    540.47x = 745.70 × 319.25
  4. Step 4: Simplify right side
    540.47x = 238,059.40
  5. Step 5: Solve for x
    x = 238,059.40/540.47
  6. Step 6: Final answer
    x = 440.47

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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.