Home / 1,001.82-1,492.67-945.94

Finding the Fourth Proportional to 1,001.82, 1,492.67 and 945.94

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Solution

The fourth proportional to 1,001.82, 1,492.67 and 945.94 is: 1,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.82 : 1,492.67 = 945.94 : x
  2. Step 2: Convert to fraction form
    1,001.82/1,492.67 = 945.94/x
  3. Step 3: Cross multiply
    1,001.82x = 1,492.67 × 945.94
  4. Step 4: Simplify right side
    1,001.82x = 1,411,976.26
  5. Step 5: Solve for x
    x = 1,411,976.26/1,001.82
  6. Step 6: Final answer
    x = 1,409.41

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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.