Home / 1,310.46-1,966.86-617.52

Finding the Fourth Proportional to 1,310.46, 1,966.86 and 617.52

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Solution

The fourth proportional to 1,310.46, 1,966.86 and 617.52 is: 926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.46 : 1,966.86 = 617.52 : x
  2. Step 2: Convert to fraction form
    1,310.46/1,966.86 = 617.52/x
  3. Step 3: Cross multiply
    1,310.46x = 1,966.86 × 617.52
  4. Step 4: Simplify right side
    1,310.46x = 1,214,575.39
  5. Step 5: Solve for x
    x = 1,214,575.39/1,310.46
  6. Step 6: Final answer
    x = 926.83

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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.