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Finding the Fourth Proportional to 1,049.00, 1,573.70 and 355.78

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Solution

The fourth proportional to 1,049.00, 1,573.70 and 355.78 is: 533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.00 : 1,573.70 = 355.78 : x
  2. Step 2: Convert to fraction form
    1,049.00/1,573.70 = 355.78/x
  3. Step 3: Cross multiply
    1,049.00x = 1,573.70 × 355.78
  4. Step 4: Simplify right side
    1,049.00x = 559,891.17
  5. Step 5: Solve for x
    x = 559,891.17/1,049.00
  6. Step 6: Final answer
    x = 533.74

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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.