Home / 1,146.16-1,719.40-415.94

Finding the Fourth Proportional to 1,146.16, 1,719.40 and 415.94

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Solution

The fourth proportional to 1,146.16, 1,719.40 and 415.94 is: 623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.16 : 1,719.40 = 415.94 : x
  2. Step 2: Convert to fraction form
    1,146.16/1,719.40 = 415.94/x
  3. Step 3: Cross multiply
    1,146.16x = 1,719.40 × 415.94
  4. Step 4: Simplify right side
    1,146.16x = 715,167.24
  5. Step 5: Solve for x
    x = 715,167.24/1,146.16
  6. Step 6: Final answer
    x = 623.97

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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.