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Finding the Fourth Proportional to 1,202.31, 1,656.86 and 803.52

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Solution

The fourth proportional to 1,202.31, 1,656.86 and 803.52 is: 1,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.31 : 1,656.86 = 803.52 : x
  2. Step 2: Convert to fraction form
    1,202.31/1,656.86 = 803.52/x
  3. Step 3: Cross multiply
    1,202.31x = 1,656.86 × 803.52
  4. Step 4: Simplify right side
    1,202.31x = 1,331,316.13
  5. Step 5: Solve for x
    x = 1,331,316.13/1,202.31
  6. Step 6: Final answer
    x = 1,107.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.