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Finding the Fourth Proportional to 972.28, 1,458.66 and 314.21

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Solution

The fourth proportional to 972.28, 1,458.66 and 314.21 is: 471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.28 : 1,458.66 = 314.21 : x
  2. Step 2: Convert to fraction form
    972.28/1,458.66 = 314.21/x
  3. Step 3: Cross multiply
    972.28x = 1,458.66 × 314.21
  4. Step 4: Simplify right side
    972.28x = 458,329.21
  5. Step 5: Solve for x
    x = 458,329.21/972.28
  6. Step 6: Final answer
    x = 471.40

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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.