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Finding the Fourth Proportional to 972.63, 1,341.41 and 821.96

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Solution

The fourth proportional to 972.63, 1,341.41 and 821.96 is: 1,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.63 : 1,341.41 = 821.96 : x
  2. Step 2: Convert to fraction form
    972.63/1,341.41 = 821.96/x
  3. Step 3: Cross multiply
    972.63x = 1,341.41 × 821.96
  4. Step 4: Simplify right side
    972.63x = 1,102,574.55
  5. Step 5: Solve for x
    x = 1,102,574.55/972.63
  6. Step 6: Final answer
    x = 1,133.60

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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.