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Finding the Fourth Proportional to 1,725.42, 2,587.95 and 492.75

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Solution

The fourth proportional to 1,725.42, 2,587.95 and 492.75 is: 739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.42 : 2,587.95 = 492.75 : x
  2. Step 2: Convert to fraction form
    1,725.42/2,587.95 = 492.75/x
  3. Step 3: Cross multiply
    1,725.42x = 2,587.95 × 492.75
  4. Step 4: Simplify right side
    1,725.42x = 1,275,212.36
  5. Step 5: Solve for x
    x = 1,275,212.36/1,725.42
  6. Step 6: Final answer
    x = 739.07

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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.