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Finding the Fourth Proportional to 620, 929.88 and 273.28

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Solution

The fourth proportional to 620, 929.88 and 273.28 is: 409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    620 : 929.88 = 273.28 : x
  2. Step 2: Convert to fraction form
    620/929.88 = 273.28/x
  3. Step 3: Cross multiply
    620x = 929.88 × 273.28
  4. Step 4: Simplify right side
    620x = 254,117.61
  5. Step 5: Solve for x
    x = 254,117.61/620
  6. Step 6: Final answer
    x = 409.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.