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Finding the Fourth Proportional to 1,677.45, 2,514.64 and 856.31

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Solution

The fourth proportional to 1,677.45, 2,514.64 and 856.31 is: 1,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.45 : 2,514.64 = 856.31 : x
  2. Step 2: Convert to fraction form
    1,677.45/2,514.64 = 856.31/x
  3. Step 3: Cross multiply
    1,677.45x = 2,514.64 × 856.31
  4. Step 4: Simplify right side
    1,677.45x = 2,153,311.38
  5. Step 5: Solve for x
    x = 2,153,311.38/1,677.45
  6. Step 6: Final answer
    x = 1,283.68

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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.