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Finding the Fourth Proportional to 1,497.45, 2,250.54 and 1,005.51

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Solution

The fourth proportional to 1,497.45, 2,250.54 and 1,005.51 is: 1,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.45 : 2,250.54 = 1,005.51 : x
  2. Step 2: Convert to fraction form
    1,497.45/2,250.54 = 1,005.51/x
  3. Step 3: Cross multiply
    1,497.45x = 2,250.54 × 1,005.51
  4. Step 4: Simplify right side
    1,497.45x = 2,262,940.48
  5. Step 5: Solve for x
    x = 2,262,940.48/1,497.45
  6. Step 6: Final answer
    x = 1,511.20

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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.