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Finding the Fourth Proportional to 992.84, 1,489.12 and 262.48

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Solution

The fourth proportional to 992.84, 1,489.12 and 262.48 is: 393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.84 : 1,489.12 = 262.48 : x
  2. Step 2: Convert to fraction form
    992.84/1,489.12 = 262.48/x
  3. Step 3: Cross multiply
    992.84x = 1,489.12 × 262.48
  4. Step 4: Simplify right side
    992.84x = 390,864.22
  5. Step 5: Solve for x
    x = 390,864.22/992.84
  6. Step 6: Final answer
    x = 393.68

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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.