Home / 1,460.50-2,191.85-536.92

Finding the Fourth Proportional to 1,460.50, 2,191.85 and 536.92

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Solution

The fourth proportional to 1,460.50, 2,191.85 and 536.92 is: 805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.50 : 2,191.85 = 536.92 : x
  2. Step 2: Convert to fraction form
    1,460.50/2,191.85 = 536.92/x
  3. Step 3: Cross multiply
    1,460.50x = 2,191.85 × 536.92
  4. Step 4: Simplify right side
    1,460.50x = 1,176,848.10
  5. Step 5: Solve for x
    x = 1,176,848.10/1,460.50
  6. Step 6: Final answer
    x = 805.78

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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.