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Finding the Fourth Proportional to 1,697.28, 2,341.89 and 1,108.68

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Solution

The fourth proportional to 1,697.28, 2,341.89 and 1,108.68 is: 1,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.28 : 2,341.89 = 1,108.68 : x
  2. Step 2: Convert to fraction form
    1,697.28/2,341.89 = 1,108.68/x
  3. Step 3: Cross multiply
    1,697.28x = 2,341.89 × 1,108.68
  4. Step 4: Simplify right side
    1,697.28x = 2,596,406.61
  5. Step 5: Solve for x
    x = 2,596,406.61/1,697.28
  6. Step 6: Final answer
    x = 1,529.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.