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Finding the Fourth Proportional to 971.03, 1,340.31 and 921.42

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Solution

The fourth proportional to 971.03, 1,340.31 and 921.42 is: 1,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.03 : 1,340.31 = 921.42 : x
  2. Step 2: Convert to fraction form
    971.03/1,340.31 = 921.42/x
  3. Step 3: Cross multiply
    971.03x = 1,340.31 × 921.42
  4. Step 4: Simplify right side
    971.03x = 1,234,988.44
  5. Step 5: Solve for x
    x = 1,234,988.44/971.03
  6. Step 6: Final answer
    x = 1,271.84

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1.5x scale

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.