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Finding the Fourth Proportional to 1,738.28, 2,607.78 and 584

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Solution

The fourth proportional to 1,738.28, 2,607.78 and 584 is: 876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.28 : 2,607.78 = 584 : x
  2. Step 2: Convert to fraction form
    1,738.28/2,607.78 = 584/x
  3. Step 3: Cross multiply
    1,738.28x = 2,607.78 × 584
  4. Step 4: Simplify right side
    1,738.28x = 1,522,943.52
  5. Step 5: Solve for x
    x = 1,522,943.52/1,738.28
  6. Step 6: Final answer
    x = 876.12

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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.