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Finding the Fourth Proportional to 1,407.93, 1,942.97 and 848.99

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Solution

The fourth proportional to 1,407.93, 1,942.97 and 848.99 is: 1,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.93 : 1,942.97 = 848.99 : x
  2. Step 2: Convert to fraction form
    1,407.93/1,942.97 = 848.99/x
  3. Step 3: Cross multiply
    1,407.93x = 1,942.97 × 848.99
  4. Step 4: Simplify right side
    1,407.93x = 1,649,548.14
  5. Step 5: Solve for x
    x = 1,649,548.14/1,407.93
  6. Step 6: Final answer
    x = 1,171.61

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1.5x scale

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.