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Finding the Fourth Proportional to 992.90, 1,497.34 and 986.42

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Solution

The fourth proportional to 992.90, 1,497.34 and 986.42 is: 1,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.90 : 1,497.34 = 986.42 : x
  2. Step 2: Convert to fraction form
    992.90/1,497.34 = 986.42/x
  3. Step 3: Cross multiply
    992.90x = 1,497.34 × 986.42
  4. Step 4: Simplify right side
    992.90x = 1,477,006.12
  5. Step 5: Solve for x
    x = 1,477,006.12/992.90
  6. Step 6: Final answer
    x = 1,487.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.