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Finding the Fourth Proportional to 992.70, 1,489.08 and 262.26

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Solution

The fourth proportional to 992.70, 1,489.08 and 262.26 is: 393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.70 : 1,489.08 = 262.26 : x
  2. Step 2: Convert to fraction form
    992.70/1,489.08 = 262.26/x
  3. Step 3: Cross multiply
    992.70x = 1,489.08 × 262.26
  4. Step 4: Simplify right side
    992.70x = 390,526.12
  5. Step 5: Solve for x
    x = 390,526.12/992.70
  6. Step 6: Final answer
    x = 393.40

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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.