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Finding the Fourth Proportional to 1,290.95, 1,781.49 and 701.50

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Solution

The fourth proportional to 1,290.95, 1,781.49 and 701.50 is: 968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.95 : 1,781.49 = 701.50 : x
  2. Step 2: Convert to fraction form
    1,290.95/1,781.49 = 701.50/x
  3. Step 3: Cross multiply
    1,290.95x = 1,781.49 × 701.50
  4. Step 4: Simplify right side
    1,290.95x = 1,249,711.73
  5. Step 5: Solve for x
    x = 1,249,711.73/1,290.95
  6. Step 6: Final answer
    x = 968.06

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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.