Home / 1,311.56-1,966.70-617.64

Finding the Fourth Proportional to 1,311.56, 1,966.70 and 617.64

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Solution

The fourth proportional to 1,311.56, 1,966.70 and 617.64 is: 926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.56 : 1,966.70 = 617.64 : x
  2. Step 2: Convert to fraction form
    1,311.56/1,966.70 = 617.64/x
  3. Step 3: Cross multiply
    1,311.56x = 1,966.70 × 617.64
  4. Step 4: Simplify right side
    1,311.56x = 1,214,714.13
  5. Step 5: Solve for x
    x = 1,214,714.13/1,311.56
  6. Step 6: Final answer
    x = 926.16

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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.