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Finding the Fourth Proportional to 1,781.51, 2,670.62 and 684.99

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Solution

The fourth proportional to 1,781.51, 2,670.62 and 684.99 is: 1,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.51 : 2,670.62 = 684.99 : x
  2. Step 2: Convert to fraction form
    1,781.51/2,670.62 = 684.99/x
  3. Step 3: Cross multiply
    1,781.51x = 2,670.62 × 684.99
  4. Step 4: Simplify right side
    1,781.51x = 1,829,344.57
  5. Step 5: Solve for x
    x = 1,829,344.57/1,781.51
  6. Step 6: Final answer
    x = 1,026.85

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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.