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Finding the Fourth Proportional to 1,245.62, 1,864.95 and 807.36

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Solution

The fourth proportional to 1,245.62, 1,864.95 and 807.36 is: 1,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.62 : 1,864.95 = 807.36 : x
  2. Step 2: Convert to fraction form
    1,245.62/1,864.95 = 807.36/x
  3. Step 3: Cross multiply
    1,245.62x = 1,864.95 × 807.36
  4. Step 4: Simplify right side
    1,245.62x = 1,505,686.03
  5. Step 5: Solve for x
    x = 1,505,686.03/1,245.62
  6. Step 6: Final answer
    x = 1,208.79

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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.