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Finding the Fourth Proportional to 1,621.07, 2,431 and 580.79

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Solution

The fourth proportional to 1,621.07, 2,431 and 580.79 is: 870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.07 : 2,431 = 580.79 : x
  2. Step 2: Convert to fraction form
    1,621.07/2,431 = 580.79/x
  3. Step 3: Cross multiply
    1,621.07x = 2,431 × 580.79
  4. Step 4: Simplify right side
    1,621.07x = 1,411,900.49
  5. Step 5: Solve for x
    x = 1,411,900.49/1,621.07
  6. Step 6: Final answer
    x = 870.97

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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.