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Finding the Fourth Proportional to 1,684.22, 2,526.17 and 643.77

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Solution

The fourth proportional to 1,684.22, 2,526.17 and 643.77 is: 965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.22 : 2,526.17 = 643.77 : x
  2. Step 2: Convert to fraction form
    1,684.22/2,526.17 = 643.77/x
  3. Step 3: Cross multiply
    1,684.22x = 2,526.17 × 643.77
  4. Step 4: Simplify right side
    1,684.22x = 1,626,269.24
  5. Step 5: Solve for x
    x = 1,626,269.24/1,684.22
  6. Step 6: Final answer
    x = 965.59

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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.