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Finding the Fourth Proportional to 1,290.70, 1,781.14 and 701.25

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Solution

The fourth proportional to 1,290.70, 1,781.14 and 701.25 is: 967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.70 : 1,781.14 = 701.25 : x
  2. Step 2: Convert to fraction form
    1,290.70/1,781.14 = 701.25/x
  3. Step 3: Cross multiply
    1,290.70x = 1,781.14 × 701.25
  4. Step 4: Simplify right side
    1,290.70x = 1,249,024.43
  5. Step 5: Solve for x
    x = 1,249,024.43/1,290.70
  6. Step 6: Final answer
    x = 967.71

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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.