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Finding the Fourth Proportional to 825.70, 1,237.60 and 415.12

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Solution

The fourth proportional to 825.70, 1,237.60 and 415.12 is: 622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.70 : 1,237.60 = 415.12 : x
  2. Step 2: Convert to fraction form
    825.70/1,237.60 = 415.12/x
  3. Step 3: Cross multiply
    825.70x = 1,237.60 × 415.12
  4. Step 4: Simplify right side
    825.70x = 513,752.51
  5. Step 5: Solve for x
    x = 513,752.51/825.70
  6. Step 6: Final answer
    x = 622.20

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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.