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Finding the Fourth Proportional to 1,202.64, 1,659.05 and 783.24

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Solution

The fourth proportional to 1,202.64, 1,659.05 and 783.24 is: 1,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.64 : 1,659.05 = 783.24 : x
  2. Step 2: Convert to fraction form
    1,202.64/1,659.05 = 783.24/x
  3. Step 3: Cross multiply
    1,202.64x = 1,659.05 × 783.24
  4. Step 4: Simplify right side
    1,202.64x = 1,299,434.32
  5. Step 5: Solve for x
    x = 1,299,434.32/1,202.64
  6. Step 6: Final answer
    x = 1,080.48

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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.