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Finding the Fourth Proportional to 971.49, 1,449.16 and 878.07

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Solution

The fourth proportional to 971.49, 1,449.16 and 878.07 is: 1,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.49 : 1,449.16 = 878.07 : x
  2. Step 2: Convert to fraction form
    971.49/1,449.16 = 878.07/x
  3. Step 3: Cross multiply
    971.49x = 1,449.16 × 878.07
  4. Step 4: Simplify right side
    971.49x = 1,272,467.16
  5. Step 5: Solve for x
    x = 1,272,467.16/971.49
  6. Step 6: Final answer
    x = 1,309.80

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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.