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Finding the Fourth Proportional to 1,086.39, 1,499.40 and 644.45

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Solution

The fourth proportional to 1,086.39, 1,499.40 and 644.45 is: 889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.39 : 1,499.40 = 644.45 : x
  2. Step 2: Convert to fraction form
    1,086.39/1,499.40 = 644.45/x
  3. Step 3: Cross multiply
    1,086.39x = 1,499.40 × 644.45
  4. Step 4: Simplify right side
    1,086.39x = 966,280.83
  5. Step 5: Solve for x
    x = 966,280.83/1,086.39
  6. Step 6: Final answer
    x = 889.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.