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Finding the Fourth Proportional to 1,208.59, 1,812.93 and 428.71

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Solution

The fourth proportional to 1,208.59, 1,812.93 and 428.71 is: 643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.59 : 1,812.93 = 428.71 : x
  2. Step 2: Convert to fraction form
    1,208.59/1,812.93 = 428.71/x
  3. Step 3: Cross multiply
    1,208.59x = 1,812.93 × 428.71
  4. Step 4: Simplify right side
    1,208.59x = 777,219.08
  5. Step 5: Solve for x
    x = 777,219.08/1,208.59
  6. Step 6: Final answer
    x = 643.08

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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.