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Finding the Fourth Proportional to 1,057.72, 1,459.65 and 591.97

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Solution

The fourth proportional to 1,057.72, 1,459.65 and 591.97 is: 816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.72 : 1,459.65 = 591.97 : x
  2. Step 2: Convert to fraction form
    1,057.72/1,459.65 = 591.97/x
  3. Step 3: Cross multiply
    1,057.72x = 1,459.65 × 591.97
  4. Step 4: Simplify right side
    1,057.72x = 864,069.01
  5. Step 5: Solve for x
    x = 864,069.01/1,057.72
  6. Step 6: Final answer
    x = 816.92

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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.