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Finding the Fourth Proportional to 900.70, 1,241.94 and 734.40

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Solution

The fourth proportional to 900.70, 1,241.94 and 734.40 is: 1,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.70 : 1,241.94 = 734.40 : x
  2. Step 2: Convert to fraction form
    900.70/1,241.94 = 734.40/x
  3. Step 3: Cross multiply
    900.70x = 1,241.94 × 734.40
  4. Step 4: Simplify right side
    900.70x = 912,080.74
  5. Step 5: Solve for x
    x = 912,080.74/900.70
  6. Step 6: Final answer
    x = 1,012.64

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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.