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Finding the Fourth Proportional to 1,114.42, 1,536.29 and 781.81

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Solution

The fourth proportional to 1,114.42, 1,536.29 and 781.81 is: 1,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.42 : 1,536.29 = 781.81 : x
  2. Step 2: Convert to fraction form
    1,114.42/1,536.29 = 781.81/x
  3. Step 3: Cross multiply
    1,114.42x = 1,536.29 × 781.81
  4. Step 4: Simplify right side
    1,114.42x = 1,201,086.88
  5. Step 5: Solve for x
    x = 1,201,086.88/1,114.42
  6. Step 6: Final answer
    x = 1,077.77

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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.