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Finding the Fourth Proportional to 1,208.64, 1,811.58 and 477.72

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Solution

The fourth proportional to 1,208.64, 1,811.58 and 477.72 is: 716.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.64 : 1,811.58 = 477.72 : x
  2. Step 2: Convert to fraction form
    1,208.64/1,811.58 = 477.72/x
  3. Step 3: Cross multiply
    1,208.64x = 1,811.58 × 477.72
  4. Step 4: Simplify right side
    1,208.64x = 865,428.00
  5. Step 5: Solve for x
    x = 865,428.00/1,208.64
  6. Step 6: Final answer
    x = 716.03

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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.