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Finding the Fourth Proportional to 972.46, 1,457.24 and 948.31

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Solution

The fourth proportional to 972.46, 1,457.24 and 948.31 is: 1,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.46 : 1,457.24 = 948.31 : x
  2. Step 2: Convert to fraction form
    972.46/1,457.24 = 948.31/x
  3. Step 3: Cross multiply
    972.46x = 1,457.24 × 948.31
  4. Step 4: Simplify right side
    972.46x = 1,381,912.21
  5. Step 5: Solve for x
    x = 1,381,912.21/972.46
  6. Step 6: Final answer
    x = 1,421.05

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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.