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Finding the Fourth Proportional to 965.71, 1,448.72 and 349.45

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Solution

The fourth proportional to 965.71, 1,448.72 and 349.45 is: 524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.71 : 1,448.72 = 349.45 : x
  2. Step 2: Convert to fraction form
    965.71/1,448.72 = 349.45/x
  3. Step 3: Cross multiply
    965.71x = 1,448.72 × 349.45
  4. Step 4: Simplify right side
    965.71x = 506,255.20
  5. Step 5: Solve for x
    x = 506,255.20/965.71
  6. Step 6: Final answer
    x = 524.23

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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.