Home / 1,311.66-1,964.84-617.40

Finding the Fourth Proportional to 1,311.66, 1,964.84 and 617.40

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Solution

The fourth proportional to 1,311.66, 1,964.84 and 617.40 is: 924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.66 : 1,964.84 = 617.40 : x
  2. Step 2: Convert to fraction form
    1,311.66/1,964.84 = 617.40/x
  3. Step 3: Cross multiply
    1,311.66x = 1,964.84 × 617.40
  4. Step 4: Simplify right side
    1,311.66x = 1,213,089.13
  5. Step 5: Solve for x
    x = 1,213,089.13/1,311.66
  6. Step 6: Final answer
    x = 924.85

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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.