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Finding the Fourth Proportional to 509.92, 707.29 and 492.43

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Solution

The fourth proportional to 509.92, 707.29 and 492.43 is: 683.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.92 : 707.29 = 492.43 : x
  2. Step 2: Convert to fraction form
    509.92/707.29 = 492.43/x
  3. Step 3: Cross multiply
    509.92x = 707.29 × 492.43
  4. Step 4: Simplify right side
    509.92x = 348,290.81
  5. Step 5: Solve for x
    x = 348,290.81/509.92
  6. Step 6: Final answer
    x = 683.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.