Home / 1,389.49-2,084.50-465.15

Finding the Fourth Proportional to 1,389.49, 2,084.50 and 465.15

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Solution

The fourth proportional to 1,389.49, 2,084.50 and 465.15 is: 697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.49 : 2,084.50 = 465.15 : x
  2. Step 2: Convert to fraction form
    1,389.49/2,084.50 = 465.15/x
  3. Step 3: Cross multiply
    1,389.49x = 2,084.50 × 465.15
  4. Step 4: Simplify right side
    1,389.49x = 969,613.57
  5. Step 5: Solve for x
    x = 969,613.57/1,389.49
  6. Step 6: Final answer
    x = 697.82

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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.