Home / 1,412.36-2,117.32-546.06

Finding the Fourth Proportional to 1,412.36, 2,117.32 and 546.06

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Solution

The fourth proportional to 1,412.36, 2,117.32 and 546.06 is: 818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.36 : 2,117.32 = 546.06 : x
  2. Step 2: Convert to fraction form
    1,412.36/2,117.32 = 546.06/x
  3. Step 3: Cross multiply
    1,412.36x = 2,117.32 × 546.06
  4. Step 4: Simplify right side
    1,412.36x = 1,156,183.76
  5. Step 5: Solve for x
    x = 1,156,183.76/1,412.36
  6. Step 6: Final answer
    x = 818.62

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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.