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Finding the Fourth Proportional to 1,113, 1,669.54 and 419.60

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Solution

The fourth proportional to 1,113, 1,669.54 and 419.60 is: 629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113 : 1,669.54 = 419.60 : x
  2. Step 2: Convert to fraction form
    1,113/1,669.54 = 419.60/x
  3. Step 3: Cross multiply
    1,113x = 1,669.54 × 419.60
  4. Step 4: Simplify right side
    1,113x = 700,538.98
  5. Step 5: Solve for x
    x = 700,538.98/1,113
  6. Step 6: Final answer
    x = 629.42

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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.