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Finding the Fourth Proportional to 1,208.01, 1,812.13 and 583.12

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Solution

The fourth proportional to 1,208.01, 1,812.13 and 583.12 is: 874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.01 : 1,812.13 = 583.12 : x
  2. Step 2: Convert to fraction form
    1,208.01/1,812.13 = 583.12/x
  3. Step 3: Cross multiply
    1,208.01x = 1,812.13 × 583.12
  4. Step 4: Simplify right side
    1,208.01x = 1,056,699.25
  5. Step 5: Solve for x
    x = 1,056,699.25/1,208.01
  6. Step 6: Final answer
    x = 874.74

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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.