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Finding the Fourth Proportional to 1,663.91, 2,297.07 and 1,290.05

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Solution

The fourth proportional to 1,663.91, 2,297.07 and 1,290.05 is: 1,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.91 : 2,297.07 = 1,290.05 : x
  2. Step 2: Convert to fraction form
    1,663.91/2,297.07 = 1,290.05/x
  3. Step 3: Cross multiply
    1,663.91x = 2,297.07 × 1,290.05
  4. Step 4: Simplify right side
    1,663.91x = 2,963,323.67
  5. Step 5: Solve for x
    x = 2,963,323.67/1,663.91
  6. Step 6: Final answer
    x = 1,780.95

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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.