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Finding the Fourth Proportional to 964.13, 1,329.98 and 609.40

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Solution

The fourth proportional to 964.13, 1,329.98 and 609.40 is: 840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.13 : 1,329.98 = 609.40 : x
  2. Step 2: Convert to fraction form
    964.13/1,329.98 = 609.40/x
  3. Step 3: Cross multiply
    964.13x = 1,329.98 × 609.40
  4. Step 4: Simplify right side
    964.13x = 810,490.14
  5. Step 5: Solve for x
    x = 810,490.14/964.13
  6. Step 6: Final answer
    x = 840.64

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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.