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Finding the Fourth Proportional to 1,848.33, 2,771.59 and 615.32

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Solution

The fourth proportional to 1,848.33, 2,771.59 and 615.32 is: 922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.33 : 2,771.59 = 615.32 : x
  2. Step 2: Convert to fraction form
    1,848.33/2,771.59 = 615.32/x
  3. Step 3: Cross multiply
    1,848.33x = 2,771.59 × 615.32
  4. Step 4: Simplify right side
    1,848.33x = 1,705,414.76
  5. Step 5: Solve for x
    x = 1,705,414.76/1,848.33
  6. Step 6: Final answer
    x = 922.68

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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.