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Finding the Fourth Proportional to 845.02, 1,164.27 and 821.94

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Solution

The fourth proportional to 845.02, 1,164.27 and 821.94 is: 1,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.02 : 1,164.27 = 821.94 : x
  2. Step 2: Convert to fraction form
    845.02/1,164.27 = 821.94/x
  3. Step 3: Cross multiply
    845.02x = 1,164.27 × 821.94
  4. Step 4: Simplify right side
    845.02x = 956,960.08
  5. Step 5: Solve for x
    x = 956,960.08/845.02
  6. Step 6: Final answer
    x = 1,132.47

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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.