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Finding the Fourth Proportional to 986.78, 1,479.87 and 401.93

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Solution

The fourth proportional to 986.78, 1,479.87 and 401.93 is: 602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.78 : 1,479.87 = 401.93 : x
  2. Step 2: Convert to fraction form
    986.78/1,479.87 = 401.93/x
  3. Step 3: Cross multiply
    986.78x = 1,479.87 × 401.93
  4. Step 4: Simplify right side
    986.78x = 594,802.30
  5. Step 5: Solve for x
    x = 594,802.30/986.78
  6. Step 6: Final answer
    x = 602.77

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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.