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Finding the Fourth Proportional to 971.90, 1,456.63 and 485.09

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Solution

The fourth proportional to 971.90, 1,456.63 and 485.09 is: 727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.90 : 1,456.63 = 485.09 : x
  2. Step 2: Convert to fraction form
    971.90/1,456.63 = 485.09/x
  3. Step 3: Cross multiply
    971.90x = 1,456.63 × 485.09
  4. Step 4: Simplify right side
    971.90x = 706,596.34
  5. Step 5: Solve for x
    x = 706,596.34/971.90
  6. Step 6: Final answer
    x = 727.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.