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Finding the Fourth Proportional to 1,659.84, 2,291.01 and 1,029.99

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Solution

The fourth proportional to 1,659.84, 2,291.01 and 1,029.99 is: 1,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.84 : 2,291.01 = 1,029.99 : x
  2. Step 2: Convert to fraction form
    1,659.84/2,291.01 = 1,029.99/x
  3. Step 3: Cross multiply
    1,659.84x = 2,291.01 × 1,029.99
  4. Step 4: Simplify right side
    1,659.84x = 2,359,717.39
  5. Step 5: Solve for x
    x = 2,359,717.39/1,659.84
  6. Step 6: Final answer
    x = 1,421.65

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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.