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Finding the Fourth Proportional to 664.60, 904.60 and 664.60

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Solution

The fourth proportional to 664.60, 904.60 and 664.60 is: 904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.60 : 904.60 = 664.60 : x
  2. Step 2: Convert to fraction form
    664.60/904.60 = 664.60/x
  3. Step 3: Cross multiply
    664.60x = 904.60 × 664.60
  4. Step 4: Simplify right side
    664.60x = 601,197.16
  5. Step 5: Solve for x
    x = 601,197.16/664.60
  6. Step 6: Final answer
    x = 904.60

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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.