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Finding the Fourth Proportional to 1,419.49, 1,958.79 and 790.00

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Solution

The fourth proportional to 1,419.49, 1,958.79 and 790.00 is: 1,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.49 : 1,958.79 = 790.00 : x
  2. Step 2: Convert to fraction form
    1,419.49/1,958.79 = 790.00/x
  3. Step 3: Cross multiply
    1,419.49x = 1,958.79 × 790.00
  4. Step 4: Simplify right side
    1,419.49x = 1,547,448.74
  5. Step 5: Solve for x
    x = 1,547,448.74/1,419.49
  6. Step 6: Final answer
    x = 1,090.14

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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.