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Finding the Fourth Proportional to 972.63, 1,457 and 663.72

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Solution

The fourth proportional to 972.63, 1,457 and 663.72 is: 994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.63 : 1,457 = 663.72 : x
  2. Step 2: Convert to fraction form
    972.63/1,457 = 663.72/x
  3. Step 3: Cross multiply
    972.63x = 1,457 × 663.72
  4. Step 4: Simplify right side
    972.63x = 967,040.04
  5. Step 5: Solve for x
    x = 967,040.04/972.63
  6. Step 6: Final answer
    x = 994.25

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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.