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Finding the Fourth Proportional to 1,585.96, 2,188.90 and 957

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Solution

The fourth proportional to 1,585.96, 2,188.90 and 957 is: 1,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.96 : 2,188.90 = 957 : x
  2. Step 2: Convert to fraction form
    1,585.96/2,188.90 = 957/x
  3. Step 3: Cross multiply
    1,585.96x = 2,188.90 × 957
  4. Step 4: Simplify right side
    1,585.96x = 2,094,777.30
  5. Step 5: Solve for x
    x = 2,094,777.30/1,585.96
  6. Step 6: Final answer
    x = 1,320.83

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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.