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Finding the Fourth Proportional to 1,003.66, 1,505.74 and 418.46

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Solution

The fourth proportional to 1,003.66, 1,505.74 and 418.46 is: 627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.66 : 1,505.74 = 418.46 : x
  2. Step 2: Convert to fraction form
    1,003.66/1,505.74 = 418.46/x
  3. Step 3: Cross multiply
    1,003.66x = 1,505.74 × 418.46
  4. Step 4: Simplify right side
    1,003.66x = 630,091.96
  5. Step 5: Solve for x
    x = 630,091.96/1,003.66
  6. Step 6: Final answer
    x = 627.80

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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.