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Finding the Fourth Proportional to 1,308.13, 1,958.64 and 918.52

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Solution

The fourth proportional to 1,308.13, 1,958.64 and 918.52 is: 1,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.13 : 1,958.64 = 918.52 : x
  2. Step 2: Convert to fraction form
    1,308.13/1,958.64 = 918.52/x
  3. Step 3: Cross multiply
    1,308.13x = 1,958.64 × 918.52
  4. Step 4: Simplify right side
    1,308.13x = 1,799,050.01
  5. Step 5: Solve for x
    x = 1,799,050.01/1,308.13
  6. Step 6: Final answer
    x = 1,375.28

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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.