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Finding the Fourth Proportional to 1,728.54, 2,592.81 and 558.36

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Solution

The fourth proportional to 1,728.54, 2,592.81 and 558.36 is: 837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.54 : 2,592.81 = 558.36 : x
  2. Step 2: Convert to fraction form
    1,728.54/2,592.81 = 558.36/x
  3. Step 3: Cross multiply
    1,728.54x = 2,592.81 × 558.36
  4. Step 4: Simplify right side
    1,728.54x = 1,447,721.39
  5. Step 5: Solve for x
    x = 1,447,721.39/1,728.54
  6. Step 6: Final answer
    x = 837.54

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1.5x scale

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.