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Finding the Fourth Proportional to 1,477.48, 2,216.86 and 792.68

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Solution

The fourth proportional to 1,477.48, 2,216.86 and 792.68 is: 1,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.48 : 2,216.86 = 792.68 : x
  2. Step 2: Convert to fraction form
    1,477.48/2,216.86 = 792.68/x
  3. Step 3: Cross multiply
    1,477.48x = 2,216.86 × 792.68
  4. Step 4: Simplify right side
    1,477.48x = 1,757,260.58
  5. Step 5: Solve for x
    x = 1,757,260.58/1,477.48
  6. Step 6: Final answer
    x = 1,189.36

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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.