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Finding the Fourth Proportional to 1,245.16, 1,717.36 and 914.28

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Solution

The fourth proportional to 1,245.16, 1,717.36 and 914.28 is: 1,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.16 : 1,717.36 = 914.28 : x
  2. Step 2: Convert to fraction form
    1,245.16/1,717.36 = 914.28/x
  3. Step 3: Cross multiply
    1,245.16x = 1,717.36 × 914.28
  4. Step 4: Simplify right side
    1,245.16x = 1,570,147.90
  5. Step 5: Solve for x
    x = 1,570,147.90/1,245.16
  6. Step 6: Final answer
    x = 1,261.00

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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.