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Finding the Fourth Proportional to 972.26, 1,457.51 and 485.46

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Solution

The fourth proportional to 972.26, 1,457.51 and 485.46 is: 727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.26 : 1,457.51 = 485.46 : x
  2. Step 2: Convert to fraction form
    972.26/1,457.51 = 485.46/x
  3. Step 3: Cross multiply
    972.26x = 1,457.51 × 485.46
  4. Step 4: Simplify right side
    972.26x = 707,562.80
  5. Step 5: Solve for x
    x = 707,562.80/972.26
  6. Step 6: Final answer
    x = 727.75

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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.