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Finding the Fourth Proportional to 1,618.21, 2,427.33 and 644.32

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Solution

The fourth proportional to 1,618.21, 2,427.33 and 644.32 is: 966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.21 : 2,427.33 = 644.32 : x
  2. Step 2: Convert to fraction form
    1,618.21/2,427.33 = 644.32/x
  3. Step 3: Cross multiply
    1,618.21x = 2,427.33 × 644.32
  4. Step 4: Simplify right side
    1,618.21x = 1,563,977.27
  5. Step 5: Solve for x
    x = 1,563,977.27/1,618.21
  6. Step 6: Final answer
    x = 966.49

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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.