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Finding the Fourth Proportional to 1,102.37, 1,655.17 and 454.37

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Solution

The fourth proportional to 1,102.37, 1,655.17 and 454.37 is: 682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.37 : 1,655.17 = 454.37 : x
  2. Step 2: Convert to fraction form
    1,102.37/1,655.17 = 454.37/x
  3. Step 3: Cross multiply
    1,102.37x = 1,655.17 × 454.37
  4. Step 4: Simplify right side
    1,102.37x = 752,050.18
  5. Step 5: Solve for x
    x = 752,050.18/1,102.37
  6. Step 6: Final answer
    x = 682.22

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Why These Related Problems?

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