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Finding the Fourth Proportional to 1,396.07, 1,926.18 and 899.00

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Solution

The fourth proportional to 1,396.07, 1,926.18 and 899.00 is: 1,240.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.07 : 1,926.18 = 899.00 : x
  2. Step 2: Convert to fraction form
    1,396.07/1,926.18 = 899.00/x
  3. Step 3: Cross multiply
    1,396.07x = 1,926.18 × 899.00
  4. Step 4: Simplify right side
    1,396.07x = 1,731,626.19
  5. Step 5: Solve for x
    x = 1,731,626.19/1,396.07
  6. Step 6: Final answer
    x = 1,240.36

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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.