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Finding the Fourth Proportional to 914.07, 1,257.42 and 801.53

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Solution

The fourth proportional to 914.07, 1,257.42 and 801.53 is: 1,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.07 : 1,257.42 = 801.53 : x
  2. Step 2: Convert to fraction form
    914.07/1,257.42 = 801.53/x
  3. Step 3: Cross multiply
    914.07x = 1,257.42 × 801.53
  4. Step 4: Simplify right side
    914.07x = 1,007,857.75
  5. Step 5: Solve for x
    x = 1,007,857.75/914.07
  6. Step 6: Final answer
    x = 1,102.61

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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.