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Finding the Fourth Proportional to 1,029.36, 1,419.72 and 674.89

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Solution

The fourth proportional to 1,029.36, 1,419.72 and 674.89 is: 930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.36 : 1,419.72 = 674.89 : x
  2. Step 2: Convert to fraction form
    1,029.36/1,419.72 = 674.89/x
  3. Step 3: Cross multiply
    1,029.36x = 1,419.72 × 674.89
  4. Step 4: Simplify right side
    1,029.36x = 958,154.83
  5. Step 5: Solve for x
    x = 958,154.83/1,029.36
  6. Step 6: Final answer
    x = 930.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.