Home / 1,457.10-2,184.30-482.67

Finding the Fourth Proportional to 1,457.10, 2,184.30 and 482.67

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Solution

The fourth proportional to 1,457.10, 2,184.30 and 482.67 is: 723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.10 : 2,184.30 = 482.67 : x
  2. Step 2: Convert to fraction form
    1,457.10/2,184.30 = 482.67/x
  3. Step 3: Cross multiply
    1,457.10x = 2,184.30 × 482.67
  4. Step 4: Simplify right side
    1,457.10x = 1,054,296.08
  5. Step 5: Solve for x
    x = 1,054,296.08/1,457.10
  6. Step 6: Final answer
    x = 723.56

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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.