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Finding the Fourth Proportional to 960.34, 1,323.93 and 645.05

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Solution

The fourth proportional to 960.34, 1,323.93 and 645.05 is: 889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.34 : 1,323.93 = 645.05 : x
  2. Step 2: Convert to fraction form
    960.34/1,323.93 = 645.05/x
  3. Step 3: Cross multiply
    960.34x = 1,323.93 × 645.05
  4. Step 4: Simplify right side
    960.34x = 854,001.05
  5. Step 5: Solve for x
    x = 854,001.05/960.34
  6. Step 6: Final answer
    x = 889.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.