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Finding the Fourth Proportional to 825.72, 1,237.50 and 460.68

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Solution

The fourth proportional to 825.72, 1,237.50 and 460.68 is: 690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.72 : 1,237.50 = 460.68 : x
  2. Step 2: Convert to fraction form
    825.72/1,237.50 = 460.68/x
  3. Step 3: Cross multiply
    825.72x = 1,237.50 × 460.68
  4. Step 4: Simplify right side
    825.72x = 570,091.50
  5. Step 5: Solve for x
    x = 570,091.50/825.72
  6. Step 6: Final answer
    x = 690.42

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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.