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Finding the Fourth Proportional to 992.60, 1,488.90 and 831.80

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Solution

The fourth proportional to 992.60, 1,488.90 and 831.80 is: 1,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.60 : 1,488.90 = 831.80 : x
  2. Step 2: Convert to fraction form
    992.60/1,488.90 = 831.80/x
  3. Step 3: Cross multiply
    992.60x = 1,488.90 × 831.80
  4. Step 4: Simplify right side
    992.60x = 1,238,467.02
  5. Step 5: Solve for x
    x = 1,238,467.02/992.60
  6. Step 6: Final answer
    x = 1,247.70

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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.