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Finding the Fourth Proportional to 970.73, 1,456.83 and 711.41

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Solution

The fourth proportional to 970.73, 1,456.83 and 711.41 is: 1,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.73 : 1,456.83 = 711.41 : x
  2. Step 2: Convert to fraction form
    970.73/1,456.83 = 711.41/x
  3. Step 3: Cross multiply
    970.73x = 1,456.83 × 711.41
  4. Step 4: Simplify right side
    970.73x = 1,036,396.15
  5. Step 5: Solve for x
    x = 1,036,396.15/970.73
  6. Step 6: Final answer
    x = 1,067.65

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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.