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Finding the Fourth Proportional to 1,648.71, 2,468.21 and 997.47

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Solution

The fourth proportional to 1,648.71, 2,468.21 and 997.47 is: 1,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.71 : 2,468.21 = 997.47 : x
  2. Step 2: Convert to fraction form
    1,648.71/2,468.21 = 997.47/x
  3. Step 3: Cross multiply
    1,648.71x = 2,468.21 × 997.47
  4. Step 4: Simplify right side
    1,648.71x = 2,461,960.44
  5. Step 5: Solve for x
    x = 2,461,960.44/1,648.71
  6. Step 6: Final answer
    x = 1,493.26

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1.5x scale

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.