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Finding the Fourth Proportional to 900.81, 1,242.30 and 768.50

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Solution

The fourth proportional to 900.81, 1,242.30 and 768.50 is: 1,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.81 : 1,242.30 = 768.50 : x
  2. Step 2: Convert to fraction form
    900.81/1,242.30 = 768.50/x
  3. Step 3: Cross multiply
    900.81x = 1,242.30 × 768.50
  4. Step 4: Simplify right side
    900.81x = 954,712.58
  5. Step 5: Solve for x
    x = 954,712.58/900.81
  6. Step 6: Final answer
    x = 1,059.84

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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.