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Finding the Fourth Proportional to 1,214.19, 1,674.24 and 820.53

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Solution

The fourth proportional to 1,214.19, 1,674.24 and 820.53 is: 1,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.19 : 1,674.24 = 820.53 : x
  2. Step 2: Convert to fraction form
    1,214.19/1,674.24 = 820.53/x
  3. Step 3: Cross multiply
    1,214.19x = 1,674.24 × 820.53
  4. Step 4: Simplify right side
    1,214.19x = 1,373,764.15
  5. Step 5: Solve for x
    x = 1,373,764.15/1,214.19
  6. Step 6: Final answer
    x = 1,131.42

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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.