Home / 1,389.16-2,084.06-415.36

Finding the Fourth Proportional to 1,389.16, 2,084.06 and 415.36

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Solution

The fourth proportional to 1,389.16, 2,084.06 and 415.36 is: 623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.16 : 2,084.06 = 415.36 : x
  2. Step 2: Convert to fraction form
    1,389.16/2,084.06 = 415.36/x
  3. Step 3: Cross multiply
    1,389.16x = 2,084.06 × 415.36
  4. Step 4: Simplify right side
    1,389.16x = 865,635.16
  5. Step 5: Solve for x
    x = 865,635.16/1,389.16
  6. Step 6: Final answer
    x = 623.14

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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.