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Finding the Fourth Proportional to 1,583.57, 2,185.38 and 884.95

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Solution

The fourth proportional to 1,583.57, 2,185.38 and 884.95 is: 1,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.57 : 2,185.38 = 884.95 : x
  2. Step 2: Convert to fraction form
    1,583.57/2,185.38 = 884.95/x
  3. Step 3: Cross multiply
    1,583.57x = 2,185.38 × 884.95
  4. Step 4: Simplify right side
    1,583.57x = 1,933,941.10
  5. Step 5: Solve for x
    x = 1,933,941.10/1,583.57
  6. Step 6: Final answer
    x = 1,221.25

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Half scale
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Double scale
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1.5x scale

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.