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Finding the Fourth Proportional to 1,602.05, 2,403.07 and 627.47

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Solution

The fourth proportional to 1,602.05, 2,403.07 and 627.47 is: 941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.05 : 2,403.07 = 627.47 : x
  2. Step 2: Convert to fraction form
    1,602.05/2,403.07 = 627.47/x
  3. Step 3: Cross multiply
    1,602.05x = 2,403.07 × 627.47
  4. Step 4: Simplify right side
    1,602.05x = 1,507,854.33
  5. Step 5: Solve for x
    x = 1,507,854.33/1,602.05
  6. Step 6: Final answer
    x = 941.20

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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.