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Finding the Fourth Proportional to 965.21, 1,330.06 and 699.20

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Solution

The fourth proportional to 965.21, 1,330.06 and 699.20 is: 963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.21 : 1,330.06 = 699.20 : x
  2. Step 2: Convert to fraction form
    965.21/1,330.06 = 699.20/x
  3. Step 3: Cross multiply
    965.21x = 1,330.06 × 699.20
  4. Step 4: Simplify right side
    965.21x = 929,967.81
  5. Step 5: Solve for x
    x = 929,967.81/965.21
  6. Step 6: Final answer
    x = 963.49

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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.