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Finding the Fourth Proportional to 972.12, 1,457.28 and 322.74

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Solution

The fourth proportional to 972.12, 1,457.28 and 322.74 is: 483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.12 : 1,457.28 = 322.74 : x
  2. Step 2: Convert to fraction form
    972.12/1,457.28 = 322.74/x
  3. Step 3: Cross multiply
    972.12x = 1,457.28 × 322.74
  4. Step 4: Simplify right side
    972.12x = 470,322.55
  5. Step 5: Solve for x
    x = 470,322.55/972.12
  6. Step 6: Final answer
    x = 483.81

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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.