Home / 1,492.08-2,238.24-761.20

Finding the Fourth Proportional to 1,492.08, 2,238.24 and 761.20

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Solution

The fourth proportional to 1,492.08, 2,238.24 and 761.20 is: 1,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.08 : 2,238.24 = 761.20 : x
  2. Step 2: Convert to fraction form
    1,492.08/2,238.24 = 761.20/x
  3. Step 3: Cross multiply
    1,492.08x = 2,238.24 × 761.20
  4. Step 4: Simplify right side
    1,492.08x = 1,703,748.29
  5. Step 5: Solve for x
    x = 1,703,748.29/1,492.08
  6. Step 6: Final answer
    x = 1,141.86

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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.