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Finding the Fourth Proportional to 1,728.47, 2,592.35 and 558.59

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Solution

The fourth proportional to 1,728.47, 2,592.35 and 558.59 is: 837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.47 : 2,592.35 = 558.59 : x
  2. Step 2: Convert to fraction form
    1,728.47/2,592.35 = 558.59/x
  3. Step 3: Cross multiply
    1,728.47x = 2,592.35 × 558.59
  4. Step 4: Simplify right side
    1,728.47x = 1,448,045.03
  5. Step 5: Solve for x
    x = 1,448,045.03/1,728.47
  6. Step 6: Final answer
    x = 837.76

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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.