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Finding the Fourth Proportional to 971.21, 1,339.52 and 677.18

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Solution

The fourth proportional to 971.21, 1,339.52 and 677.18 is: 933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.21 : 1,339.52 = 677.18 : x
  2. Step 2: Convert to fraction form
    971.21/1,339.52 = 677.18/x
  3. Step 3: Cross multiply
    971.21x = 1,339.52 × 677.18
  4. Step 4: Simplify right side
    971.21x = 907,086.07
  5. Step 5: Solve for x
    x = 907,086.07/971.21
  6. Step 6: Final answer
    x = 933.98

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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.