Home / 1,146.32-1,719.49-415.89

Finding the Fourth Proportional to 1,146.32, 1,719.49 and 415.89

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Solution

The fourth proportional to 1,146.32, 1,719.49 and 415.89 is: 623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.32 : 1,719.49 = 415.89 : x
  2. Step 2: Convert to fraction form
    1,146.32/1,719.49 = 415.89/x
  3. Step 3: Cross multiply
    1,146.32x = 1,719.49 × 415.89
  4. Step 4: Simplify right side
    1,146.32x = 715,117.66
  5. Step 5: Solve for x
    x = 715,117.66/1,146.32
  6. Step 6: Final answer
    x = 623.84

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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.