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Finding the Fourth Proportional to 1,419.12, 1,955.19 and 1,064.49

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Solution

The fourth proportional to 1,419.12, 1,955.19 and 1,064.49 is: 1,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.12 : 1,955.19 = 1,064.49 : x
  2. Step 2: Convert to fraction form
    1,419.12/1,955.19 = 1,064.49/x
  3. Step 3: Cross multiply
    1,419.12x = 1,955.19 × 1,064.49
  4. Step 4: Simplify right side
    1,419.12x = 2,081,268.88
  5. Step 5: Solve for x
    x = 2,081,268.88/1,419.12
  6. Step 6: Final answer
    x = 1,466.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.