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Finding the Fourth Proportional to 1,066.07, 1,599.38 and 678.82

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Solution

The fourth proportional to 1,066.07, 1,599.38 and 678.82 is: 1,018.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.07 : 1,599.38 = 678.82 : x
  2. Step 2: Convert to fraction form
    1,066.07/1,599.38 = 678.82/x
  3. Step 3: Cross multiply
    1,066.07x = 1,599.38 × 678.82
  4. Step 4: Simplify right side
    1,066.07x = 1,085,691.13
  5. Step 5: Solve for x
    x = 1,085,691.13/1,066.07
  6. Step 6: Final answer
    x = 1,018.41

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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.