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Finding the Fourth Proportional to 1,585.80, 2,188.68 and 922.60

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Solution

The fourth proportional to 1,585.80, 2,188.68 and 922.60 is: 1,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.80 : 2,188.68 = 922.60 : x
  2. Step 2: Convert to fraction form
    1,585.80/2,188.68 = 922.60/x
  3. Step 3: Cross multiply
    1,585.80x = 2,188.68 × 922.60
  4. Step 4: Simplify right side
    1,585.80x = 2,019,276.17
  5. Step 5: Solve for x
    x = 2,019,276.17/1,585.80
  6. Step 6: Final answer
    x = 1,273.35

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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.