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Finding the Fourth Proportional to 1,233.80, 1,851.05 and 583.64

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Solution

The fourth proportional to 1,233.80, 1,851.05 and 583.64 is: 875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.80 : 1,851.05 = 583.64 : x
  2. Step 2: Convert to fraction form
    1,233.80/1,851.05 = 583.64/x
  3. Step 3: Cross multiply
    1,233.80x = 1,851.05 × 583.64
  4. Step 4: Simplify right side
    1,233.80x = 1,080,339.03
  5. Step 5: Solve for x
    x = 1,080,339.03/1,233.80
  6. Step 6: Final answer
    x = 875.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.