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Finding the Fourth Proportional to 973.52, 1,453.86 and 866

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Solution

The fourth proportional to 973.52, 1,453.86 and 866 is: 1,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.52 : 1,453.86 = 866 : x
  2. Step 2: Convert to fraction form
    973.52/1,453.86 = 866/x
  3. Step 3: Cross multiply
    973.52x = 1,453.86 × 866
  4. Step 4: Simplify right side
    973.52x = 1,259,042.76
  5. Step 5: Solve for x
    x = 1,259,042.76/973.52
  6. Step 6: Final answer
    x = 1,293.29

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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.