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Finding the Fourth Proportional to 1,422.90, 2,130.51 and 737.46

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Solution

The fourth proportional to 1,422.90, 2,130.51 and 737.46 is: 1,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.90 : 2,130.51 = 737.46 : x
  2. Step 2: Convert to fraction form
    1,422.90/2,130.51 = 737.46/x
  3. Step 3: Cross multiply
    1,422.90x = 2,130.51 × 737.46
  4. Step 4: Simplify right side
    1,422.90x = 1,571,165.90
  5. Step 5: Solve for x
    x = 1,571,165.90/1,422.90
  6. Step 6: Final answer
    x = 1,104.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.