Home / 1,311.40-1,965.64-570.16

Finding the Fourth Proportional to 1,311.40, 1,965.64 and 570.16

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Solution

The fourth proportional to 1,311.40, 1,965.64 and 570.16 is: 854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.40 : 1,965.64 = 570.16 : x
  2. Step 2: Convert to fraction form
    1,311.40/1,965.64 = 570.16/x
  3. Step 3: Cross multiply
    1,311.40x = 1,965.64 × 570.16
  4. Step 4: Simplify right side
    1,311.40x = 1,120,729.30
  5. Step 5: Solve for x
    x = 1,120,729.30/1,311.40
  6. Step 6: Final answer
    x = 854.61

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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.