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Finding the Fourth Proportional to 2,645.60, 3,968.36 and 644.31

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Solution

The fourth proportional to 2,645.60, 3,968.36 and 644.31 is: 966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.60 : 3,968.36 = 644.31 : x
  2. Step 2: Convert to fraction form
    2,645.60/3,968.36 = 644.31/x
  3. Step 3: Cross multiply
    2,645.60x = 3,968.36 × 644.31
  4. Step 4: Simplify right side
    2,645.60x = 2,556,851.15
  5. Step 5: Solve for x
    x = 2,556,851.15/2,645.60
  6. Step 6: Final answer
    x = 966.45

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1.5x scale

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.