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Finding the Fourth Proportional to 1,389.86, 2,083.88 and 452.69

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Solution

The fourth proportional to 1,389.86, 2,083.88 and 452.69 is: 678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.86 : 2,083.88 = 452.69 : x
  2. Step 2: Convert to fraction form
    1,389.86/2,083.88 = 452.69/x
  3. Step 3: Cross multiply
    1,389.86x = 2,083.88 × 452.69
  4. Step 4: Simplify right side
    1,389.86x = 943,347.62
  5. Step 5: Solve for x
    x = 943,347.62/1,389.86
  6. Step 6: Final answer
    x = 678.74

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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.