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Finding the Fourth Proportional to 1,442.61, 1,991.79 and 919.35

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Solution

The fourth proportional to 1,442.61, 1,991.79 and 919.35 is: 1,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.61 : 1,991.79 = 919.35 : x
  2. Step 2: Convert to fraction form
    1,442.61/1,991.79 = 919.35/x
  3. Step 3: Cross multiply
    1,442.61x = 1,991.79 × 919.35
  4. Step 4: Simplify right side
    1,442.61x = 1,831,152.14
  5. Step 5: Solve for x
    x = 1,831,152.14/1,442.61
  6. Step 6: Final answer
    x = 1,269.33

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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.