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Finding the Fourth Proportional to 1,728.25, 2,592.62 and 632.35

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Solution

The fourth proportional to 1,728.25, 2,592.62 and 632.35 is: 948.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.25 : 2,592.62 = 632.35 : x
  2. Step 2: Convert to fraction form
    1,728.25/2,592.62 = 632.35/x
  3. Step 3: Cross multiply
    1,728.25x = 2,592.62 × 632.35
  4. Step 4: Simplify right side
    1,728.25x = 1,639,443.26
  5. Step 5: Solve for x
    x = 1,639,443.26/1,728.25
  6. Step 6: Final answer
    x = 948.61

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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.