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Finding the Fourth Proportional to 971.36, 1,339.44 and 708.56

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Solution

The fourth proportional to 971.36, 1,339.44 and 708.56 is: 977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.36 : 1,339.44 = 708.56 : x
  2. Step 2: Convert to fraction form
    971.36/1,339.44 = 708.56/x
  3. Step 3: Cross multiply
    971.36x = 1,339.44 × 708.56
  4. Step 4: Simplify right side
    971.36x = 949,073.61
  5. Step 5: Solve for x
    x = 949,073.61/971.36
  6. Step 6: Final answer
    x = 977.06

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