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Finding the Fourth Proportional to 986.98, 1,481.01 and 602.50

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Solution

The fourth proportional to 986.98, 1,481.01 and 602.50 is: 904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.98 : 1,481.01 = 602.50 : x
  2. Step 2: Convert to fraction form
    986.98/1,481.01 = 602.50/x
  3. Step 3: Cross multiply
    986.98x = 1,481.01 × 602.50
  4. Step 4: Simplify right side
    986.98x = 892,308.53
  5. Step 5: Solve for x
    x = 892,308.53/986.98
  6. Step 6: Final answer
    x = 904.08

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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.