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Finding the Fourth Proportional to 1,214.29, 1,677.55 and 795.64

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Solution

The fourth proportional to 1,214.29, 1,677.55 and 795.64 is: 1,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.29 : 1,677.55 = 795.64 : x
  2. Step 2: Convert to fraction form
    1,214.29/1,677.55 = 795.64/x
  3. Step 3: Cross multiply
    1,214.29x = 1,677.55 × 795.64
  4. Step 4: Simplify right side
    1,214.29x = 1,334,713.52
  5. Step 5: Solve for x
    x = 1,334,713.52/1,214.29
  6. Step 6: Final answer
    x = 1,099.18

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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.