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Finding the Fourth Proportional to 986.89, 1,480.47 and 401.92

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Solution

The fourth proportional to 986.89, 1,480.47 and 401.92 is: 602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.89 : 1,480.47 = 401.92 : x
  2. Step 2: Convert to fraction form
    986.89/1,480.47 = 401.92/x
  3. Step 3: Cross multiply
    986.89x = 1,480.47 × 401.92
  4. Step 4: Simplify right side
    986.89x = 595,030.50
  5. Step 5: Solve for x
    x = 595,030.50/986.89
  6. Step 6: Final answer
    x = 602.93

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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.