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Finding the Fourth Proportional to 1,077.29, 1,616.39 and 644.45

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Solution

The fourth proportional to 1,077.29, 1,616.39 and 644.45 is: 966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.29 : 1,616.39 = 644.45 : x
  2. Step 2: Convert to fraction form
    1,077.29/1,616.39 = 644.45/x
  3. Step 3: Cross multiply
    1,077.29x = 1,616.39 × 644.45
  4. Step 4: Simplify right side
    1,077.29x = 1,041,671.23
  5. Step 5: Solve for x
    x = 1,041,671.23/1,077.29
  6. Step 6: Final answer
    x = 966.94

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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.