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Finding the Fourth Proportional to 1,451.78, 2,003.47 and 788.64

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Solution

The fourth proportional to 1,451.78, 2,003.47 and 788.64 is: 1,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.78 : 2,003.47 = 788.64 : x
  2. Step 2: Convert to fraction form
    1,451.78/2,003.47 = 788.64/x
  3. Step 3: Cross multiply
    1,451.78x = 2,003.47 × 788.64
  4. Step 4: Simplify right side
    1,451.78x = 1,580,017.57
  5. Step 5: Solve for x
    x = 1,580,017.57/1,451.78
  6. Step 6: Final answer
    x = 1,088.33

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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.