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Finding the Fourth Proportional to 989.98, 1,484.59 and 340.60

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Solution

The fourth proportional to 989.98, 1,484.59 and 340.60 is: 510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.98 : 1,484.59 = 340.60 : x
  2. Step 2: Convert to fraction form
    989.98/1,484.59 = 340.60/x
  3. Step 3: Cross multiply
    989.98x = 1,484.59 × 340.60
  4. Step 4: Simplify right side
    989.98x = 505,651.35
  5. Step 5: Solve for x
    x = 505,651.35/989.98
  6. Step 6: Final answer
    x = 510.77

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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.