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Finding the Fourth Proportional to 1,066.88, 1,599.04 and 824.32

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Solution

The fourth proportional to 1,066.88, 1,599.04 and 824.32 is: 1,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.88 : 1,599.04 = 824.32 : x
  2. Step 2: Convert to fraction form
    1,066.88/1,599.04 = 824.32/x
  3. Step 3: Cross multiply
    1,066.88x = 1,599.04 × 824.32
  4. Step 4: Simplify right side
    1,066.88x = 1,318,120.65
  5. Step 5: Solve for x
    x = 1,318,120.65/1,066.88
  6. Step 6: Final answer
    x = 1,235.49

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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.