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Finding the Fourth Proportional to 960.02, 1,324.43 and 586.88

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Solution

The fourth proportional to 960.02, 1,324.43 and 586.88 is: 809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.02 : 1,324.43 = 586.88 : x
  2. Step 2: Convert to fraction form
    960.02/1,324.43 = 586.88/x
  3. Step 3: Cross multiply
    960.02x = 1,324.43 × 586.88
  4. Step 4: Simplify right side
    960.02x = 777,284.06
  5. Step 5: Solve for x
    x = 777,284.06/960.02
  6. Step 6: Final answer
    x = 809.65

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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.