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Finding the Fourth Proportional to 1,037.45, 1,555.54 and 412

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Solution

The fourth proportional to 1,037.45, 1,555.54 and 412 is: 617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.45 : 1,555.54 = 412 : x
  2. Step 2: Convert to fraction form
    1,037.45/1,555.54 = 412/x
  3. Step 3: Cross multiply
    1,037.45x = 1,555.54 × 412
  4. Step 4: Simplify right side
    1,037.45x = 640,882.48
  5. Step 5: Solve for x
    x = 640,882.48/1,037.45
  6. Step 6: Final answer
    x = 617.75

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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.