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Finding the Fourth Proportional to 1,260.61, 1,892.27 and 1,066.51

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Solution

The fourth proportional to 1,260.61, 1,892.27 and 1,066.51 is: 1,600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.61 : 1,892.27 = 1,066.51 : x
  2. Step 2: Convert to fraction form
    1,260.61/1,892.27 = 1,066.51/x
  3. Step 3: Cross multiply
    1,260.61x = 1,892.27 × 1,066.51
  4. Step 4: Simplify right side
    1,260.61x = 2,018,129.91
  5. Step 5: Solve for x
    x = 2,018,129.91/1,260.61
  6. Step 6: Final answer
    x = 1,600.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.