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Finding the Fourth Proportional to 992.86, 1,369.10 and 714.42

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Solution

The fourth proportional to 992.86, 1,369.10 and 714.42 is: 985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.86 : 1,369.10 = 714.42 : x
  2. Step 2: Convert to fraction form
    992.86/1,369.10 = 714.42/x
  3. Step 3: Cross multiply
    992.86x = 1,369.10 × 714.42
  4. Step 4: Simplify right side
    992.86x = 978,114.21
  5. Step 5: Solve for x
    x = 978,114.21/992.86
  6. Step 6: Final answer
    x = 985.15

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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.