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Finding the Fourth Proportional to 1,201.95, 1,801.71 and 653.00

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Solution

The fourth proportional to 1,201.95, 1,801.71 and 653.00 is: 978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.95 : 1,801.71 = 653.00 : x
  2. Step 2: Convert to fraction form
    1,201.95/1,801.71 = 653.00/x
  3. Step 3: Cross multiply
    1,201.95x = 1,801.71 × 653.00
  4. Step 4: Simplify right side
    1,201.95x = 1,176,507.62
  5. Step 5: Solve for x
    x = 1,176,507.62/1,201.95
  6. Step 6: Final answer
    x = 978.83

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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.