Home / 1,412.50-2,118.75-546.90

Finding the Fourth Proportional to 1,412.50, 2,118.75 and 546.90

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Solution

The fourth proportional to 1,412.50, 2,118.75 and 546.90 is: 820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.50 : 2,118.75 = 546.90 : x
  2. Step 2: Convert to fraction form
    1,412.50/2,118.75 = 546.90/x
  3. Step 3: Cross multiply
    1,412.50x = 2,118.75 × 546.90
  4. Step 4: Simplify right side
    1,412.50x = 1,158,744.38
  5. Step 5: Solve for x
    x = 1,158,744.38/1,412.50
  6. Step 6: Final answer
    x = 820.35

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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.