Home / 1,146.37-1,719.45-415.75

Finding the Fourth Proportional to 1,146.37, 1,719.45 and 415.75

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Solution

The fourth proportional to 1,146.37, 1,719.45 and 415.75 is: 623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.37 : 1,719.45 = 415.75 : x
  2. Step 2: Convert to fraction form
    1,146.37/1,719.45 = 415.75/x
  3. Step 3: Cross multiply
    1,146.37x = 1,719.45 × 415.75
  4. Step 4: Simplify right side
    1,146.37x = 714,861.34
  5. Step 5: Solve for x
    x = 714,861.34/1,146.37
  6. Step 6: Final answer
    x = 623.59

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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.