Home / 1,566.72-2,349.84-412.46

Finding the Fourth Proportional to 1,566.72, 2,349.84 and 412.46

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Solution

The fourth proportional to 1,566.72, 2,349.84 and 412.46 is: 618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.72 : 2,349.84 = 412.46 : x
  2. Step 2: Convert to fraction form
    1,566.72/2,349.84 = 412.46/x
  3. Step 3: Cross multiply
    1,566.72x = 2,349.84 × 412.46
  4. Step 4: Simplify right side
    1,566.72x = 969,215.01
  5. Step 5: Solve for x
    x = 969,215.01/1,566.72
  6. Step 6: Final answer
    x = 618.63

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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.