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Finding the Fourth Proportional to 900.96, 1,242.99 and 605.76

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Solution

The fourth proportional to 900.96, 1,242.99 and 605.76 is: 835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.96 : 1,242.99 = 605.76 : x
  2. Step 2: Convert to fraction form
    900.96/1,242.99 = 605.76/x
  3. Step 3: Cross multiply
    900.96x = 1,242.99 × 605.76
  4. Step 4: Simplify right side
    900.96x = 752,953.62
  5. Step 5: Solve for x
    x = 752,953.62/900.96
  6. Step 6: Final answer
    x = 835.72

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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.