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Finding the Fourth Proportional to 1,628.88, 2,431.92 and 1,490.64

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Solution

The fourth proportional to 1,628.88, 2,431.92 and 1,490.64 is: 2,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.88 : 2,431.92 = 1,490.64 : x
  2. Step 2: Convert to fraction form
    1,628.88/2,431.92 = 1,490.64/x
  3. Step 3: Cross multiply
    1,628.88x = 2,431.92 × 1,490.64
  4. Step 4: Simplify right side
    1,628.88x = 3,625,117.23
  5. Step 5: Solve for x
    x = 3,625,117.23/1,628.88
  6. Step 6: Final answer
    x = 2,225.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.