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Finding the Fourth Proportional to 989.97, 1,484.62 and 340.55

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Solution

The fourth proportional to 989.97, 1,484.62 and 340.55 is: 510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.97 : 1,484.62 = 340.55 : x
  2. Step 2: Convert to fraction form
    989.97/1,484.62 = 340.55/x
  3. Step 3: Cross multiply
    989.97x = 1,484.62 × 340.55
  4. Step 4: Simplify right side
    989.97x = 505,587.34
  5. Step 5: Solve for x
    x = 505,587.34/989.97
  6. Step 6: Final answer
    x = 510.71

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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.