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Finding the Fourth Proportional to 959.34, 1,440.75 and 882.16

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Solution

The fourth proportional to 959.34, 1,440.75 and 882.16 is: 1,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.34 : 1,440.75 = 882.16 : x
  2. Step 2: Convert to fraction form
    959.34/1,440.75 = 882.16/x
  3. Step 3: Cross multiply
    959.34x = 1,440.75 × 882.16
  4. Step 4: Simplify right side
    959.34x = 1,270,972.02
  5. Step 5: Solve for x
    x = 1,270,972.02/959.34
  6. Step 6: Final answer
    x = 1,324.84

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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.