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Finding the Fourth Proportional to 969.25, 1,456.31 and 910.93

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Solution

The fourth proportional to 969.25, 1,456.31 and 910.93 is: 1,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.25 : 1,456.31 = 910.93 : x
  2. Step 2: Convert to fraction form
    969.25/1,456.31 = 910.93/x
  3. Step 3: Cross multiply
    969.25x = 1,456.31 × 910.93
  4. Step 4: Simplify right side
    969.25x = 1,326,596.47
  5. Step 5: Solve for x
    x = 1,326,596.47/969.25
  6. Step 6: Final answer
    x = 1,368.68

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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.