Home / 1,066.10-1,599.75-1,057.86

Finding the Fourth Proportional to 1,066.10, 1,599.75 and 1,057.86

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Solution

The fourth proportional to 1,066.10, 1,599.75 and 1,057.86 is: 1,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.10 : 1,599.75 = 1,057.86 : x
  2. Step 2: Convert to fraction form
    1,066.10/1,599.75 = 1,057.86/x
  3. Step 3: Cross multiply
    1,066.10x = 1,599.75 × 1,057.86
  4. Step 4: Simplify right side
    1,066.10x = 1,692,311.54
  5. Step 5: Solve for x
    x = 1,692,311.54/1,066.10
  6. Step 6: Final answer
    x = 1,587.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.