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Finding the Fourth Proportional to 1,114.56, 1,542.24 and 967.68

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Solution

The fourth proportional to 1,114.56, 1,542.24 and 967.68 is: 1,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.56 : 1,542.24 = 967.68 : x
  2. Step 2: Convert to fraction form
    1,114.56/1,542.24 = 967.68/x
  3. Step 3: Cross multiply
    1,114.56x = 1,542.24 × 967.68
  4. Step 4: Simplify right side
    1,114.56x = 1,492,394.80
  5. Step 5: Solve for x
    x = 1,492,394.80/1,114.56
  6. Step 6: Final answer
    x = 1,339.00

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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.