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Finding the Fourth Proportional to 1,112.56, 1,534.32 and 955.14

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Solution

The fourth proportional to 1,112.56, 1,534.32 and 955.14 is: 1,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.56 : 1,534.32 = 955.14 : x
  2. Step 2: Convert to fraction form
    1,112.56/1,534.32 = 955.14/x
  3. Step 3: Cross multiply
    1,112.56x = 1,534.32 × 955.14
  4. Step 4: Simplify right side
    1,112.56x = 1,465,490.60
  5. Step 5: Solve for x
    x = 1,465,490.60/1,112.56
  6. Step 6: Final answer
    x = 1,317.22

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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.