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Finding the Fourth Proportional to 971.21, 1,340.38 and 578.23

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Solution

The fourth proportional to 971.21, 1,340.38 and 578.23 is: 798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.21 : 1,340.38 = 578.23 : x
  2. Step 2: Convert to fraction form
    971.21/1,340.38 = 578.23/x
  3. Step 3: Cross multiply
    971.21x = 1,340.38 × 578.23
  4. Step 4: Simplify right side
    971.21x = 775,038.33
  5. Step 5: Solve for x
    x = 775,038.33/971.21
  6. Step 6: Final answer
    x = 798.02

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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.