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Finding the Fourth Proportional to 972.64, 1,457.04 and 851.04

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Solution

The fourth proportional to 972.64, 1,457.04 and 851.04 is: 1,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.64 : 1,457.04 = 851.04 : x
  2. Step 2: Convert to fraction form
    972.64/1,457.04 = 851.04/x
  3. Step 3: Cross multiply
    972.64x = 1,457.04 × 851.04
  4. Step 4: Simplify right side
    972.64x = 1,239,999.32
  5. Step 5: Solve for x
    x = 1,239,999.32/972.64
  6. Step 6: Final answer
    x = 1,274.88

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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.