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Finding the Fourth Proportional to 1,416.82, 2,124.78 and 492.16

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Solution

The fourth proportional to 1,416.82, 2,124.78 and 492.16 is: 738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.82 : 2,124.78 = 492.16 : x
  2. Step 2: Convert to fraction form
    1,416.82/2,124.78 = 492.16/x
  3. Step 3: Cross multiply
    1,416.82x = 2,124.78 × 492.16
  4. Step 4: Simplify right side
    1,416.82x = 1,045,731.72
  5. Step 5: Solve for x
    x = 1,045,731.72/1,416.82
  6. Step 6: Final answer
    x = 738.08

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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.