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Finding the Fourth Proportional to 845.43, 1,165.35 and 821.13

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Solution

The fourth proportional to 845.43, 1,165.35 and 821.13 is: 1,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.43 : 1,165.35 = 821.13 : x
  2. Step 2: Convert to fraction form
    845.43/1,165.35 = 821.13/x
  3. Step 3: Cross multiply
    845.43x = 1,165.35 × 821.13
  4. Step 4: Simplify right side
    845.43x = 956,903.85
  5. Step 5: Solve for x
    x = 956,903.85/845.43
  6. Step 6: Final answer
    x = 1,131.85

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1.5x scale

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.