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Finding the Fourth Proportional to 900.45, 1,243.20 and 735.06

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Solution

The fourth proportional to 900.45, 1,243.20 and 735.06 is: 1,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.45 : 1,243.20 = 735.06 : x
  2. Step 2: Convert to fraction form
    900.45/1,243.20 = 735.06/x
  3. Step 3: Cross multiply
    900.45x = 1,243.20 × 735.06
  4. Step 4: Simplify right side
    900.45x = 913,826.59
  5. Step 5: Solve for x
    x = 913,826.59/900.45
  6. Step 6: Final answer
    x = 1,014.86

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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.