Home / 1,026.34-1,416.58-628.09

Finding the Fourth Proportional to 1,026.34, 1,416.58 and 628.09

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Solution

The fourth proportional to 1,026.34, 1,416.58 and 628.09 is: 866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.34 : 1,416.58 = 628.09 : x
  2. Step 2: Convert to fraction form
    1,026.34/1,416.58 = 628.09/x
  3. Step 3: Cross multiply
    1,026.34x = 1,416.58 × 628.09
  4. Step 4: Simplify right side
    1,026.34x = 889,734.62
  5. Step 5: Solve for x
    x = 889,734.62/1,026.34
  6. Step 6: Final answer
    x = 866.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.