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Finding the Fourth Proportional to 972.58, 1,340.94 and 822.94

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Solution

The fourth proportional to 972.58, 1,340.94 and 822.94 is: 1,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.58 : 1,340.94 = 822.94 : x
  2. Step 2: Convert to fraction form
    972.58/1,340.94 = 822.94/x
  3. Step 3: Cross multiply
    972.58x = 1,340.94 × 822.94
  4. Step 4: Simplify right side
    972.58x = 1,103,513.16
  5. Step 5: Solve for x
    x = 1,103,513.16/972.58
  6. Step 6: Final answer
    x = 1,134.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.