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Finding the Fourth Proportional to 971.45, 1,337.51 and 905.21

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Solution

The fourth proportional to 971.45, 1,337.51 and 905.21 is: 1,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.45 : 1,337.51 = 905.21 : x
  2. Step 2: Convert to fraction form
    971.45/1,337.51 = 905.21/x
  3. Step 3: Cross multiply
    971.45x = 1,337.51 × 905.21
  4. Step 4: Simplify right side
    971.45x = 1,210,722.90
  5. Step 5: Solve for x
    x = 1,210,722.90/971.45
  6. Step 6: Final answer
    x = 1,246.30

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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.