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Finding the Fourth Proportional to 664.08, 904.14 and 662.02

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Solution

The fourth proportional to 664.08, 904.14 and 662.02 is: 901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.08 : 904.14 = 662.02 : x
  2. Step 2: Convert to fraction form
    664.08/904.14 = 662.02/x
  3. Step 3: Cross multiply
    664.08x = 904.14 × 662.02
  4. Step 4: Simplify right side
    664.08x = 598,558.76
  5. Step 5: Solve for x
    x = 598,558.76/664.08
  6. Step 6: Final answer
    x = 901.34

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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.