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Finding the Fourth Proportional to 509.96, 706.40 and 468.92

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Solution

The fourth proportional to 509.96, 706.40 and 468.92 is: 649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.96 : 706.40 = 468.92 : x
  2. Step 2: Convert to fraction form
    509.96/706.40 = 468.92/x
  3. Step 3: Cross multiply
    509.96x = 706.40 × 468.92
  4. Step 4: Simplify right side
    509.96x = 331,245.09
  5. Step 5: Solve for x
    x = 331,245.09/509.96
  6. Step 6: Final answer
    x = 649.55

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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.