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Finding the Fourth Proportional to 959.63, 1,438.96 and 491.03

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Solution

The fourth proportional to 959.63, 1,438.96 and 491.03 is: 736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.63 : 1,438.96 = 491.03 : x
  2. Step 2: Convert to fraction form
    959.63/1,438.96 = 491.03/x
  3. Step 3: Cross multiply
    959.63x = 1,438.96 × 491.03
  4. Step 4: Simplify right side
    959.63x = 706,576.13
  5. Step 5: Solve for x
    x = 706,576.13/959.63
  6. Step 6: Final answer
    x = 736.30

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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.