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Finding the Fourth Proportional to 1,008.07, 1,509.22 and 620.71

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Solution

The fourth proportional to 1,008.07, 1,509.22 and 620.71 is: 929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.07 : 1,509.22 = 620.71 : x
  2. Step 2: Convert to fraction form
    1,008.07/1,509.22 = 620.71/x
  3. Step 3: Cross multiply
    1,008.07x = 1,509.22 × 620.71
  4. Step 4: Simplify right side
    1,008.07x = 936,787.95
  5. Step 5: Solve for x
    x = 936,787.95/1,008.07
  6. Step 6: Final answer
    x = 929.29

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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.