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Finding the Fourth Proportional to 977.71, 1,349.37 and 629.41

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Solution

The fourth proportional to 977.71, 1,349.37 and 629.41 is: 868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.71 : 1,349.37 = 629.41 : x
  2. Step 2: Convert to fraction form
    977.71/1,349.37 = 629.41/x
  3. Step 3: Cross multiply
    977.71x = 1,349.37 × 629.41
  4. Step 4: Simplify right side
    977.71x = 849,297.08
  5. Step 5: Solve for x
    x = 849,297.08/977.71
  6. Step 6: Final answer
    x = 868.66

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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.