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Finding the Fourth Proportional to 989.33, 1,484.14 and 339.91

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Solution

The fourth proportional to 989.33, 1,484.14 and 339.91 is: 509.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.33 : 1,484.14 = 339.91 : x
  2. Step 2: Convert to fraction form
    989.33/1,484.14 = 339.91/x
  3. Step 3: Cross multiply
    989.33x = 1,484.14 × 339.91
  4. Step 4: Simplify right side
    989.33x = 504,466.61
  5. Step 5: Solve for x
    x = 504,466.61/989.33
  6. Step 6: Final answer
    x = 509.91

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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.