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Finding the Fourth Proportional to 1,105.01, 1,655.68 and 739.90

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Solution

The fourth proportional to 1,105.01, 1,655.68 and 739.90 is: 1,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.01 : 1,655.68 = 739.90 : x
  2. Step 2: Convert to fraction form
    1,105.01/1,655.68 = 739.90/x
  3. Step 3: Cross multiply
    1,105.01x = 1,655.68 × 739.90
  4. Step 4: Simplify right side
    1,105.01x = 1,225,037.63
  5. Step 5: Solve for x
    x = 1,225,037.63/1,105.01
  6. Step 6: Final answer
    x = 1,108.62

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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.