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Finding the Fourth Proportional to 1,063.70, 1,467.54 and 665.09

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Solution

The fourth proportional to 1,063.70, 1,467.54 and 665.09 is: 917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.70 : 1,467.54 = 665.09 : x
  2. Step 2: Convert to fraction form
    1,063.70/1,467.54 = 665.09/x
  3. Step 3: Cross multiply
    1,063.70x = 1,467.54 × 665.09
  4. Step 4: Simplify right side
    1,063.70x = 976,046.18
  5. Step 5: Solve for x
    x = 976,046.18/1,063.70
  6. Step 6: Final answer
    x = 917.60

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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.