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Finding the Fourth Proportional to 964.49, 1,447.07 and 409.33

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Solution

The fourth proportional to 964.49, 1,447.07 and 409.33 is: 614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.49 : 1,447.07 = 409.33 : x
  2. Step 2: Convert to fraction form
    964.49/1,447.07 = 409.33/x
  3. Step 3: Cross multiply
    964.49x = 1,447.07 × 409.33
  4. Step 4: Simplify right side
    964.49x = 592,328.93
  5. Step 5: Solve for x
    x = 592,328.93/964.49
  6. Step 6: Final answer
    x = 614.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.