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Finding the Fourth Proportional to 1,677.56, 2,516.40 and 523.40

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Solution

The fourth proportional to 1,677.56, 2,516.40 and 523.40 is: 785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.56 : 2,516.40 = 523.40 : x
  2. Step 2: Convert to fraction form
    1,677.56/2,516.40 = 523.40/x
  3. Step 3: Cross multiply
    1,677.56x = 2,516.40 × 523.40
  4. Step 4: Simplify right side
    1,677.56x = 1,317,083.76
  5. Step 5: Solve for x
    x = 1,317,083.76/1,677.56
  6. Step 6: Final answer
    x = 785.12

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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.