Home / 1,146.59-1,719.87-415.86

Finding the Fourth Proportional to 1,146.59, 1,719.87 and 415.86

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Solution

The fourth proportional to 1,146.59, 1,719.87 and 415.86 is: 623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.59 : 1,719.87 = 415.86 : x
  2. Step 2: Convert to fraction form
    1,146.59/1,719.87 = 415.86/x
  3. Step 3: Cross multiply
    1,146.59x = 1,719.87 × 415.86
  4. Step 4: Simplify right side
    1,146.59x = 715,225.14
  5. Step 5: Solve for x
    x = 715,225.14/1,146.59
  6. Step 6: Final answer
    x = 623.79

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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.