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Finding the Fourth Proportional to 664.35, 904.26 and 664.35

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Solution

The fourth proportional to 664.35, 904.26 and 664.35 is: 904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.35 : 904.26 = 664.35 : x
  2. Step 2: Convert to fraction form
    664.35/904.26 = 664.35/x
  3. Step 3: Cross multiply
    664.35x = 904.26 × 664.35
  4. Step 4: Simplify right side
    664.35x = 600,745.13
  5. Step 5: Solve for x
    x = 600,745.13/664.35
  6. Step 6: Final answer
    x = 904.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.