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Finding the Fourth Proportional to 1,677.51, 2,515.77 and 581.67

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Solution

The fourth proportional to 1,677.51, 2,515.77 and 581.67 is: 872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.51 : 2,515.77 = 581.67 : x
  2. Step 2: Convert to fraction form
    1,677.51/2,515.77 = 581.67/x
  3. Step 3: Cross multiply
    1,677.51x = 2,515.77 × 581.67
  4. Step 4: Simplify right side
    1,677.51x = 1,463,347.94
  5. Step 5: Solve for x
    x = 1,463,347.94/1,677.51
  6. Step 6: Final answer
    x = 872.33

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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.