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Finding the Fourth Proportional to 900.70, 1,242.98 and 742.75

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Solution

The fourth proportional to 900.70, 1,242.98 and 742.75 is: 1,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.70 : 1,242.98 = 742.75 : x
  2. Step 2: Convert to fraction form
    900.70/1,242.98 = 742.75/x
  3. Step 3: Cross multiply
    900.70x = 1,242.98 × 742.75
  4. Step 4: Simplify right side
    900.70x = 923,226.35
  5. Step 5: Solve for x
    x = 923,226.35/900.70
  6. Step 6: Final answer
    x = 1,025.01

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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.