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Finding the Fourth Proportional to 1,290.74, 1,781.50 and 848.68

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Solution

The fourth proportional to 1,290.74, 1,781.50 and 848.68 is: 1,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.74 : 1,781.50 = 848.68 : x
  2. Step 2: Convert to fraction form
    1,290.74/1,781.50 = 848.68/x
  3. Step 3: Cross multiply
    1,290.74x = 1,781.50 × 848.68
  4. Step 4: Simplify right side
    1,290.74x = 1,511,925.54
  5. Step 5: Solve for x
    x = 1,511,925.54/1,290.74
  6. Step 6: Final answer
    x = 1,171.37

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1.5x scale

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.