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Finding the Fourth Proportional to 972.25, 1,457.85 and 664.45

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Solution

The fourth proportional to 972.25, 1,457.85 and 664.45 is: 996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.25 : 1,457.85 = 664.45 : x
  2. Step 2: Convert to fraction form
    972.25/1,457.85 = 664.45/x
  3. Step 3: Cross multiply
    972.25x = 1,457.85 × 664.45
  4. Step 4: Simplify right side
    972.25x = 968,671.74
  5. Step 5: Solve for x
    x = 968,671.74/972.25
  6. Step 6: Final answer
    x = 996.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.