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Finding the Fourth Proportional to 1,222.76, 1,685.54 and 960.32

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Solution

The fourth proportional to 1,222.76, 1,685.54 and 960.32 is: 1,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.76 : 1,685.54 = 960.32 : x
  2. Step 2: Convert to fraction form
    1,222.76/1,685.54 = 960.32/x
  3. Step 3: Cross multiply
    1,222.76x = 1,685.54 × 960.32
  4. Step 4: Simplify right side
    1,222.76x = 1,618,644.54
  5. Step 5: Solve for x
    x = 1,618,644.54/1,222.76
  6. Step 6: Final answer
    x = 1,323.77

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Find fourth proportional to 611.38, 842.77 and 480.16
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.