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Finding the Fourth Proportional to 965.32, 1,448.12 and 417.49

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Solution

The fourth proportional to 965.32, 1,448.12 and 417.49 is: 626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.32 : 1,448.12 = 417.49 : x
  2. Step 2: Convert to fraction form
    965.32/1,448.12 = 417.49/x
  3. Step 3: Cross multiply
    965.32x = 1,448.12 × 417.49
  4. Step 4: Simplify right side
    965.32x = 604,573.04
  5. Step 5: Solve for x
    x = 604,573.04/965.32
  6. Step 6: Final answer
    x = 626.29

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Double scale
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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.