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Finding the Fourth Proportional to 1,101.39, 1,650.04 and 788.39

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Solution

The fourth proportional to 1,101.39, 1,650.04 and 788.39 is: 1,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.39 : 1,650.04 = 788.39 : x
  2. Step 2: Convert to fraction form
    1,101.39/1,650.04 = 788.39/x
  3. Step 3: Cross multiply
    1,101.39x = 1,650.04 × 788.39
  4. Step 4: Simplify right side
    1,101.39x = 1,300,881.13
  5. Step 5: Solve for x
    x = 1,300,881.13/1,101.39
  6. Step 6: Final answer
    x = 1,181.13

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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.