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Finding the Fourth Proportional to 1,208, 1,812.72 and 524

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Solution

The fourth proportional to 1,208, 1,812.72 and 524 is: 786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208 : 1,812.72 = 524 : x
  2. Step 2: Convert to fraction form
    1,208/1,812.72 = 524/x
  3. Step 3: Cross multiply
    1,208x = 1,812.72 × 524
  4. Step 4: Simplify right side
    1,208x = 949,865.28
  5. Step 5: Solve for x
    x = 949,865.28/1,208
  6. Step 6: Final answer
    x = 786.31

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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.