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Finding the Fourth Proportional to 1,618.32, 2,427.47 and 522.66

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Solution

The fourth proportional to 1,618.32, 2,427.47 and 522.66 is: 783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.32 : 2,427.47 = 522.66 : x
  2. Step 2: Convert to fraction form
    1,618.32/2,427.47 = 522.66/x
  3. Step 3: Cross multiply
    1,618.32x = 2,427.47 × 522.66
  4. Step 4: Simplify right side
    1,618.32x = 1,268,741.89
  5. Step 5: Solve for x
    x = 1,268,741.89/1,618.32
  6. Step 6: Final answer
    x = 783.99

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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.