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Finding the Fourth Proportional to 900.14, 1,242.76 and 734.75

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Solution

The fourth proportional to 900.14, 1,242.76 and 734.75 is: 1,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.14 : 1,242.76 = 734.75 : x
  2. Step 2: Convert to fraction form
    900.14/1,242.76 = 734.75/x
  3. Step 3: Cross multiply
    900.14x = 1,242.76 × 734.75
  4. Step 4: Simplify right side
    900.14x = 913,111.70
  5. Step 5: Solve for x
    x = 913,111.70/900.14
  6. Step 6: Final answer
    x = 1,014.42

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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.