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Finding the Fourth Proportional to 942.87, 1,419.99 and 841.08

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Solution

The fourth proportional to 942.87, 1,419.99 and 841.08 is: 1,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.87 : 1,419.99 = 841.08 : x
  2. Step 2: Convert to fraction form
    942.87/1,419.99 = 841.08/x
  3. Step 3: Cross multiply
    942.87x = 1,419.99 × 841.08
  4. Step 4: Simplify right side
    942.87x = 1,194,325.19
  5. Step 5: Solve for x
    x = 1,194,325.19/942.87
  6. Step 6: Final answer
    x = 1,266.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.