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Finding the Fourth Proportional to 964.02, 1,329.96 and 609.78

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Solution

The fourth proportional to 964.02, 1,329.96 and 609.78 is: 841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.02 : 1,329.96 = 609.78 : x
  2. Step 2: Convert to fraction form
    964.02/1,329.96 = 609.78/x
  3. Step 3: Cross multiply
    964.02x = 1,329.96 × 609.78
  4. Step 4: Simplify right side
    964.02x = 810,983.01
  5. Step 5: Solve for x
    x = 810,983.01/964.02
  6. Step 6: Final answer
    x = 841.25

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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.