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Finding the Fourth Proportional to 922.26, 1,382.58 and 510.78

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Solution

The fourth proportional to 922.26, 1,382.58 and 510.78 is: 765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.26 : 1,382.58 = 510.78 : x
  2. Step 2: Convert to fraction form
    922.26/1,382.58 = 510.78/x
  3. Step 3: Cross multiply
    922.26x = 1,382.58 × 510.78
  4. Step 4: Simplify right side
    922.26x = 706,194.21
  5. Step 5: Solve for x
    x = 706,194.21/922.26
  6. Step 6: Final answer
    x = 765.72

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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.