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Finding the Fourth Proportional to 964.65, 1,447.13 and 348.50

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Solution

The fourth proportional to 964.65, 1,447.13 and 348.50 is: 522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.65 : 1,447.13 = 348.50 : x
  2. Step 2: Convert to fraction form
    964.65/1,447.13 = 348.50/x
  3. Step 3: Cross multiply
    964.65x = 1,447.13 × 348.50
  4. Step 4: Simplify right side
    964.65x = 504,326.68
  5. Step 5: Solve for x
    x = 504,326.68/964.65
  6. Step 6: Final answer
    x = 522.81

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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.