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Finding the Fourth Proportional to 992.08, 1,486.68 and 704.08

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Solution

The fourth proportional to 992.08, 1,486.68 and 704.08 is: 1,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.08 : 1,486.68 = 704.08 : x
  2. Step 2: Convert to fraction form
    992.08/1,486.68 = 704.08/x
  3. Step 3: Cross multiply
    992.08x = 1,486.68 × 704.08
  4. Step 4: Simplify right side
    992.08x = 1,046,741.65
  5. Step 5: Solve for x
    x = 1,046,741.65/992.08
  6. Step 6: Final answer
    x = 1,055.10

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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.