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Finding the Fourth Proportional to 817.60, 1,125.84 and 620.32

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Solution

The fourth proportional to 817.60, 1,125.84 and 620.32 is: 854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.60 : 1,125.84 = 620.32 : x
  2. Step 2: Convert to fraction form
    817.60/1,125.84 = 620.32/x
  3. Step 3: Cross multiply
    817.60x = 1,125.84 × 620.32
  4. Step 4: Simplify right side
    817.60x = 698,381.07
  5. Step 5: Solve for x
    x = 698,381.07/817.60
  6. Step 6: Final answer
    x = 854.18

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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.