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Finding the Fourth Proportional to 1,057.43, 1,459.22 and 585.35

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Solution

The fourth proportional to 1,057.43, 1,459.22 and 585.35 is: 807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.43 : 1,459.22 = 585.35 : x
  2. Step 2: Convert to fraction form
    1,057.43/1,459.22 = 585.35/x
  3. Step 3: Cross multiply
    1,057.43x = 1,459.22 × 585.35
  4. Step 4: Simplify right side
    1,057.43x = 854,147.13
  5. Step 5: Solve for x
    x = 854,147.13/1,057.43
  6. Step 6: Final answer
    x = 807.76

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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.