Home / 1,066.14-1,599.54-450.12

Finding the Fourth Proportional to 1,066.14, 1,599.54 and 450.12

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Solution

The fourth proportional to 1,066.14, 1,599.54 and 450.12 is: 675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.14 : 1,599.54 = 450.12 : x
  2. Step 2: Convert to fraction form
    1,066.14/1,599.54 = 450.12/x
  3. Step 3: Cross multiply
    1,066.14x = 1,599.54 × 450.12
  4. Step 4: Simplify right side
    1,066.14x = 719,984.94
  5. Step 5: Solve for x
    x = 719,984.94/1,066.14
  6. Step 6: Final answer
    x = 675.32

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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.