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Finding the Fourth Proportional to 1,002.45, 1,383.88 and 764.45

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Solution

The fourth proportional to 1,002.45, 1,383.88 and 764.45 is: 1,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.45 : 1,383.88 = 764.45 : x
  2. Step 2: Convert to fraction form
    1,002.45/1,383.88 = 764.45/x
  3. Step 3: Cross multiply
    1,002.45x = 1,383.88 × 764.45
  4. Step 4: Simplify right side
    1,002.45x = 1,057,907.07
  5. Step 5: Solve for x
    x = 1,057,907.07/1,002.45
  6. Step 6: Final answer
    x = 1,055.32

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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.