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Finding the Fourth Proportional to 1,677.85, 2,515.66 and 752.14

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Solution

The fourth proportional to 1,677.85, 2,515.66 and 752.14 is: 1,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.85 : 2,515.66 = 752.14 : x
  2. Step 2: Convert to fraction form
    1,677.85/2,515.66 = 752.14/x
  3. Step 3: Cross multiply
    1,677.85x = 2,515.66 × 752.14
  4. Step 4: Simplify right side
    1,677.85x = 1,892,128.51
  5. Step 5: Solve for x
    x = 1,892,128.51/1,677.85
  6. Step 6: Final answer
    x = 1,127.71

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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.