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Finding the Fourth Proportional to 972.41, 1,458.71 and 305.27

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Solution

The fourth proportional to 972.41, 1,458.71 and 305.27 is: 457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.41 : 1,458.71 = 305.27 : x
  2. Step 2: Convert to fraction form
    972.41/1,458.71 = 305.27/x
  3. Step 3: Cross multiply
    972.41x = 1,458.71 × 305.27
  4. Step 4: Simplify right side
    972.41x = 445,300.40
  5. Step 5: Solve for x
    x = 445,300.40/972.41
  6. Step 6: Final answer
    x = 457.93

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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.