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Finding the Fourth Proportional to 1,666.19, 2,499.33 and 679.46

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Solution

The fourth proportional to 1,666.19, 2,499.33 and 679.46 is: 1,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.19 : 2,499.33 = 679.46 : x
  2. Step 2: Convert to fraction form
    1,666.19/2,499.33 = 679.46/x
  3. Step 3: Cross multiply
    1,666.19x = 2,499.33 × 679.46
  4. Step 4: Simplify right side
    1,666.19x = 1,698,194.76
  5. Step 5: Solve for x
    x = 1,698,194.76/1,666.19
  6. Step 6: Final answer
    x = 1,019.21

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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.