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Finding the Fourth Proportional to 900.25, 1,242.75 and 667.78

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Solution

The fourth proportional to 900.25, 1,242.75 and 667.78 is: 921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.25 : 1,242.75 = 667.78 : x
  2. Step 2: Convert to fraction form
    900.25/1,242.75 = 667.78/x
  3. Step 3: Cross multiply
    900.25x = 1,242.75 × 667.78
  4. Step 4: Simplify right side
    900.25x = 829,883.60
  5. Step 5: Solve for x
    x = 829,883.60/900.25
  6. Step 6: Final answer
    x = 921.84

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1.5x scale

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.