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Finding the Fourth Proportional to 806.02, 1,207.74 and 389.08

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Solution

The fourth proportional to 806.02, 1,207.74 and 389.08 is: 583.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.02 : 1,207.74 = 389.08 : x
  2. Step 2: Convert to fraction form
    806.02/1,207.74 = 389.08/x
  3. Step 3: Cross multiply
    806.02x = 1,207.74 × 389.08
  4. Step 4: Simplify right side
    806.02x = 469,907.48
  5. Step 5: Solve for x
    x = 469,907.48/806.02
  6. Step 6: Final answer
    x = 583.00

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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.