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Finding the Fourth Proportional to 972.42, 1,457.52 and 484.38

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Solution

The fourth proportional to 972.42, 1,457.52 and 484.38 is: 726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.42 : 1,457.52 = 484.38 : x
  2. Step 2: Convert to fraction form
    972.42/1,457.52 = 484.38/x
  3. Step 3: Cross multiply
    972.42x = 1,457.52 × 484.38
  4. Step 4: Simplify right side
    972.42x = 705,993.54
  5. Step 5: Solve for x
    x = 705,993.54/972.42
  6. Step 6: Final answer
    x = 726.02

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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.