Home / 1,580.64-2,182.08-1,057.44

Finding the Fourth Proportional to 1,580.64, 2,182.08 and 1,057.44

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Solution

The fourth proportional to 1,580.64, 2,182.08 and 1,057.44 is: 1,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.64 : 2,182.08 = 1,057.44 : x
  2. Step 2: Convert to fraction form
    1,580.64/2,182.08 = 1,057.44/x
  3. Step 3: Cross multiply
    1,580.64x = 2,182.08 × 1,057.44
  4. Step 4: Simplify right side
    1,580.64x = 2,307,418.68
  5. Step 5: Solve for x
    x = 2,307,418.68/1,580.64
  6. Step 6: Final answer
    x = 1,459.80

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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.