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Finding the Fourth Proportional to 1,720.29, 2,374.05 and 1,057.53

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Solution

The fourth proportional to 1,720.29, 2,374.05 and 1,057.53 is: 1,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.29 : 2,374.05 = 1,057.53 : x
  2. Step 2: Convert to fraction form
    1,720.29/2,374.05 = 1,057.53/x
  3. Step 3: Cross multiply
    1,720.29x = 2,374.05 × 1,057.53
  4. Step 4: Simplify right side
    1,720.29x = 2,510,629.10
  5. Step 5: Solve for x
    x = 2,510,629.10/1,720.29
  6. Step 6: Final answer
    x = 1,459.42

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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.