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Finding the Fourth Proportional to 971.76, 1,448.26 and 970.21

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Solution

The fourth proportional to 971.76, 1,448.26 and 970.21 is: 1,445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.76 : 1,448.26 = 970.21 : x
  2. Step 2: Convert to fraction form
    971.76/1,448.26 = 970.21/x
  3. Step 3: Cross multiply
    971.76x = 1,448.26 × 970.21
  4. Step 4: Simplify right side
    971.76x = 1,405,115.72
  5. Step 5: Solve for x
    x = 1,405,115.72/971.76
  6. Step 6: Final answer
    x = 1,445.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.