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Finding the Fourth Proportional to 1,035.90, 1,554.93 and 992.16

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Solution

The fourth proportional to 1,035.90, 1,554.93 and 992.16 is: 1,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.90 : 1,554.93 = 992.16 : x
  2. Step 2: Convert to fraction form
    1,035.90/1,554.93 = 992.16/x
  3. Step 3: Cross multiply
    1,035.90x = 1,554.93 × 992.16
  4. Step 4: Simplify right side
    1,035.90x = 1,542,739.35
  5. Step 5: Solve for x
    x = 1,542,739.35/1,035.90
  6. Step 6: Final answer
    x = 1,489.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.