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Finding the Fourth Proportional to 1,344.16, 1,855.02 and 820.36

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Solution

The fourth proportional to 1,344.16, 1,855.02 and 820.36 is: 1,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.16 : 1,855.02 = 820.36 : x
  2. Step 2: Convert to fraction form
    1,344.16/1,855.02 = 820.36/x
  3. Step 3: Cross multiply
    1,344.16x = 1,855.02 × 820.36
  4. Step 4: Simplify right side
    1,344.16x = 1,521,784.21
  5. Step 5: Solve for x
    x = 1,521,784.21/1,344.16
  6. Step 6: Final answer
    x = 1,132.15

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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.