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Finding the Fourth Proportional to 1,662.24, 2,492.72 and 507.68

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Solution

The fourth proportional to 1,662.24, 2,492.72 and 507.68 is: 761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.24 : 2,492.72 = 507.68 : x
  2. Step 2: Convert to fraction form
    1,662.24/2,492.72 = 507.68/x
  3. Step 3: Cross multiply
    1,662.24x = 2,492.72 × 507.68
  4. Step 4: Simplify right side
    1,662.24x = 1,265,504.09
  5. Step 5: Solve for x
    x = 1,265,504.09/1,662.24
  6. Step 6: Final answer
    x = 761.32

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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.