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Finding the Fourth Proportional to 986.36, 1,477.28 and 845.96

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Solution

The fourth proportional to 986.36, 1,477.28 and 845.96 is: 1,267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.36 : 1,477.28 = 845.96 : x
  2. Step 2: Convert to fraction form
    986.36/1,477.28 = 845.96/x
  3. Step 3: Cross multiply
    986.36x = 1,477.28 × 845.96
  4. Step 4: Simplify right side
    986.36x = 1,249,714.52
  5. Step 5: Solve for x
    x = 1,249,714.52/986.36
  6. Step 6: Final answer
    x = 1,267.00

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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.