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Finding the Fourth Proportional to 1,728.28, 2,591.58 and 631.90

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Solution

The fourth proportional to 1,728.28, 2,591.58 and 631.90 is: 947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.28 : 2,591.58 = 631.90 : x
  2. Step 2: Convert to fraction form
    1,728.28/2,591.58 = 631.90/x
  3. Step 3: Cross multiply
    1,728.28x = 2,591.58 × 631.90
  4. Step 4: Simplify right side
    1,728.28x = 1,637,619.40
  5. Step 5: Solve for x
    x = 1,637,619.40/1,728.28
  6. Step 6: Final answer
    x = 947.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.