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Finding the Fourth Proportional to 1,617.60, 2,231.64 and 954.22

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Solution

The fourth proportional to 1,617.60, 2,231.64 and 954.22 is: 1,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.60 : 2,231.64 = 954.22 : x
  2. Step 2: Convert to fraction form
    1,617.60/2,231.64 = 954.22/x
  3. Step 3: Cross multiply
    1,617.60x = 2,231.64 × 954.22
  4. Step 4: Simplify right side
    1,617.60x = 2,129,475.52
  5. Step 5: Solve for x
    x = 2,129,475.52/1,617.60
  6. Step 6: Final answer
    x = 1,316.44

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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.