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Finding the Fourth Proportional to 1,389.66, 2,084.82 and 415.76

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Solution

The fourth proportional to 1,389.66, 2,084.82 and 415.76 is: 623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.66 : 2,084.82 = 415.76 : x
  2. Step 2: Convert to fraction form
    1,389.66/2,084.82 = 415.76/x
  3. Step 3: Cross multiply
    1,389.66x = 2,084.82 × 415.76
  4. Step 4: Simplify right side
    1,389.66x = 866,784.76
  5. Step 5: Solve for x
    x = 866,784.76/1,389.66
  6. Step 6: Final answer
    x = 623.74

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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.