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Finding the Fourth Proportional to 965.36, 1,447.68 and 417.62

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Solution

The fourth proportional to 965.36, 1,447.68 and 417.62 is: 626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.36 : 1,447.68 = 417.62 : x
  2. Step 2: Convert to fraction form
    965.36/1,447.68 = 417.62/x
  3. Step 3: Cross multiply
    965.36x = 1,447.68 × 417.62
  4. Step 4: Simplify right side
    965.36x = 604,580.12
  5. Step 5: Solve for x
    x = 604,580.12/965.36
  6. Step 6: Final answer
    x = 626.27

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1.5x scale

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.