Home / 1,412.08-2,118.44-546.64

Finding the Fourth Proportional to 1,412.08, 2,118.44 and 546.64

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Solution

The fourth proportional to 1,412.08, 2,118.44 and 546.64 is: 820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.08 : 2,118.44 = 546.64 : x
  2. Step 2: Convert to fraction form
    1,412.08/2,118.44 = 546.64/x
  3. Step 3: Cross multiply
    1,412.08x = 2,118.44 × 546.64
  4. Step 4: Simplify right side
    1,412.08x = 1,158,024.04
  5. Step 5: Solve for x
    x = 1,158,024.04/1,412.08
  6. Step 6: Final answer
    x = 820.08

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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.