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Finding the Fourth Proportional to 1,653.22, 2,478.36 and 627.94

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Solution

The fourth proportional to 1,653.22, 2,478.36 and 627.94 is: 941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.22 : 2,478.36 = 627.94 : x
  2. Step 2: Convert to fraction form
    1,653.22/2,478.36 = 627.94/x
  3. Step 3: Cross multiply
    1,653.22x = 2,478.36 × 627.94
  4. Step 4: Simplify right side
    1,653.22x = 1,556,261.38
  5. Step 5: Solve for x
    x = 1,556,261.38/1,653.22
  6. Step 6: Final answer
    x = 941.35

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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.