Home / 1,146.78-1,719.14-416.20

Finding the Fourth Proportional to 1,146.78, 1,719.14 and 416.20

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Solution

The fourth proportional to 1,146.78, 1,719.14 and 416.20 is: 623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.78 : 1,719.14 = 416.20 : x
  2. Step 2: Convert to fraction form
    1,146.78/1,719.14 = 416.20/x
  3. Step 3: Cross multiply
    1,146.78x = 1,719.14 × 416.20
  4. Step 4: Simplify right side
    1,146.78x = 715,506.07
  5. Step 5: Solve for x
    x = 715,506.07/1,146.78
  6. Step 6: Final answer
    x = 623.93

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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.