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Finding the Fourth Proportional to 1,260.58, 1,739.40 and 788.42

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Solution

The fourth proportional to 1,260.58, 1,739.40 and 788.42 is: 1,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.58 : 1,739.40 = 788.42 : x
  2. Step 2: Convert to fraction form
    1,260.58/1,739.40 = 788.42/x
  3. Step 3: Cross multiply
    1,260.58x = 1,739.40 × 788.42
  4. Step 4: Simplify right side
    1,260.58x = 1,371,377.75
  5. Step 5: Solve for x
    x = 1,371,377.75/1,260.58
  6. Step 6: Final answer
    x = 1,087.89

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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.