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Finding the Fourth Proportional to 963.02, 1,329.81 and 609.50

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Solution

The fourth proportional to 963.02, 1,329.81 and 609.50 is: 841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.02 : 1,329.81 = 609.50 : x
  2. Step 2: Convert to fraction form
    963.02/1,329.81 = 609.50/x
  3. Step 3: Cross multiply
    963.02x = 1,329.81 × 609.50
  4. Step 4: Simplify right side
    963.02x = 810,519.20
  5. Step 5: Solve for x
    x = 810,519.20/963.02
  6. Step 6: Final answer
    x = 841.64

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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.