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Finding the Fourth Proportional to 1,203.64, 1,807.62 and 767.32

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Solution

The fourth proportional to 1,203.64, 1,807.62 and 767.32 is: 1,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.64 : 1,807.62 = 767.32 : x
  2. Step 2: Convert to fraction form
    1,203.64/1,807.62 = 767.32/x
  3. Step 3: Cross multiply
    1,203.64x = 1,807.62 × 767.32
  4. Step 4: Simplify right side
    1,203.64x = 1,387,022.98
  5. Step 5: Solve for x
    x = 1,387,022.98/1,203.64
  6. Step 6: Final answer
    x = 1,152.36

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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.