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Finding the Fourth Proportional to 1,290.20, 1,780.47 and 700.73

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Solution

The fourth proportional to 1,290.20, 1,780.47 and 700.73 is: 967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.20 : 1,780.47 = 700.73 : x
  2. Step 2: Convert to fraction form
    1,290.20/1,780.47 = 700.73/x
  3. Step 3: Cross multiply
    1,290.20x = 1,780.47 × 700.73
  4. Step 4: Simplify right side
    1,290.20x = 1,247,628.74
  5. Step 5: Solve for x
    x = 1,247,628.74/1,290.20
  6. Step 6: Final answer
    x = 967.00

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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.