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Finding the Fourth Proportional to 965.61, 1,448.29 and 417.34

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Solution

The fourth proportional to 965.61, 1,448.29 and 417.34 is: 625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.61 : 1,448.29 = 417.34 : x
  2. Step 2: Convert to fraction form
    965.61/1,448.29 = 417.34/x
  3. Step 3: Cross multiply
    965.61x = 1,448.29 × 417.34
  4. Step 4: Simplify right side
    965.61x = 604,429.35
  5. Step 5: Solve for x
    x = 604,429.35/965.61
  6. Step 6: Final answer
    x = 625.96

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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.