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Finding the Fourth Proportional to 917.13, 1,257.41 and 900.75

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Solution

The fourth proportional to 917.13, 1,257.41 and 900.75 is: 1,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.13 : 1,257.41 = 900.75 : x
  2. Step 2: Convert to fraction form
    917.13/1,257.41 = 900.75/x
  3. Step 3: Cross multiply
    917.13x = 1,257.41 × 900.75
  4. Step 4: Simplify right side
    917.13x = 1,132,607.55
  5. Step 5: Solve for x
    x = 1,132,607.55/917.13
  6. Step 6: Final answer
    x = 1,234.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.