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Finding the Fourth Proportional to 1,057.80, 1,580.01 and 1,028.64

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Solution

The fourth proportional to 1,057.80, 1,580.01 and 1,028.64 is: 1,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.80 : 1,580.01 = 1,028.64 : x
  2. Step 2: Convert to fraction form
    1,057.80/1,580.01 = 1,028.64/x
  3. Step 3: Cross multiply
    1,057.80x = 1,580.01 × 1,028.64
  4. Step 4: Simplify right side
    1,057.80x = 1,625,261.49
  5. Step 5: Solve for x
    x = 1,625,261.49/1,057.80
  6. Step 6: Final answer
    x = 1,536.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.