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Finding the Fourth Proportional to 1,618.64, 2,427.26 and 578.90

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Solution

The fourth proportional to 1,618.64, 2,427.26 and 578.90 is: 868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.64 : 2,427.26 = 578.90 : x
  2. Step 2: Convert to fraction form
    1,618.64/2,427.26 = 578.90/x
  3. Step 3: Cross multiply
    1,618.64x = 2,427.26 × 578.90
  4. Step 4: Simplify right side
    1,618.64x = 1,405,140.81
  5. Step 5: Solve for x
    x = 1,405,140.81/1,618.64
  6. Step 6: Final answer
    x = 868.10

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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.