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Finding the Fourth Proportional to 1,618.15, 2,427.57 and 522.60

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Solution

The fourth proportional to 1,618.15, 2,427.57 and 522.60 is: 784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.15 : 2,427.57 = 522.60 : x
  2. Step 2: Convert to fraction form
    1,618.15/2,427.57 = 522.60/x
  3. Step 3: Cross multiply
    1,618.15x = 2,427.57 × 522.60
  4. Step 4: Simplify right side
    1,618.15x = 1,268,652.63
  5. Step 5: Solve for x
    x = 1,268,652.63/1,618.15
  6. Step 6: Final answer
    x = 784.01

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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.