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Finding the Fourth Proportional to 1,390.85, 1,917.14 and 942.58

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Solution

The fourth proportional to 1,390.85, 1,917.14 and 942.58 is: 1,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.85 : 1,917.14 = 942.58 : x
  2. Step 2: Convert to fraction form
    1,390.85/1,917.14 = 942.58/x
  3. Step 3: Cross multiply
    1,390.85x = 1,917.14 × 942.58
  4. Step 4: Simplify right side
    1,390.85x = 1,807,057.82
  5. Step 5: Solve for x
    x = 1,807,057.82/1,390.85
  6. Step 6: Final answer
    x = 1,299.25

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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.