Home / 1,146.65-1,719.30-415.90

Finding the Fourth Proportional to 1,146.65, 1,719.30 and 415.90

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Solution

The fourth proportional to 1,146.65, 1,719.30 and 415.90 is: 623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.65 : 1,719.30 = 415.90 : x
  2. Step 2: Convert to fraction form
    1,146.65/1,719.30 = 415.90/x
  3. Step 3: Cross multiply
    1,146.65x = 1,719.30 × 415.90
  4. Step 4: Simplify right side
    1,146.65x = 715,056.87
  5. Step 5: Solve for x
    x = 715,056.87/1,146.65
  6. Step 6: Final answer
    x = 623.61

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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.