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Finding the Fourth Proportional to 1,064.02, 1,467.20 and 665.54

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Solution

The fourth proportional to 1,064.02, 1,467.20 and 665.54 is: 917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.02 : 1,467.20 = 665.54 : x
  2. Step 2: Convert to fraction form
    1,064.02/1,467.20 = 665.54/x
  3. Step 3: Cross multiply
    1,064.02x = 1,467.20 × 665.54
  4. Step 4: Simplify right side
    1,064.02x = 976,469.62
  5. Step 5: Solve for x
    x = 976,469.62/1,064.02
  6. Step 6: Final answer
    x = 917.72

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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.