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Finding the Fourth Proportional to 1,659.64, 2,290.36 and 913.65

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Solution

The fourth proportional to 1,659.64, 2,290.36 and 913.65 is: 1,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.64 : 2,290.36 = 913.65 : x
  2. Step 2: Convert to fraction form
    1,659.64/2,290.36 = 913.65/x
  3. Step 3: Cross multiply
    1,659.64x = 2,290.36 × 913.65
  4. Step 4: Simplify right side
    1,659.64x = 2,092,587.41
  5. Step 5: Solve for x
    x = 2,092,587.41/1,659.64
  6. Step 6: Final answer
    x = 1,260.87

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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.