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Finding the Fourth Proportional to 1,653.48, 2,480.22 and 785.16

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Solution

The fourth proportional to 1,653.48, 2,480.22 and 785.16 is: 1,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.48 : 2,480.22 = 785.16 : x
  2. Step 2: Convert to fraction form
    1,653.48/2,480.22 = 785.16/x
  3. Step 3: Cross multiply
    1,653.48x = 2,480.22 × 785.16
  4. Step 4: Simplify right side
    1,653.48x = 1,947,369.54
  5. Step 5: Solve for x
    x = 1,947,369.54/1,653.48
  6. Step 6: Final answer
    x = 1,177.74

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Double scale
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Similar ratio
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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.