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Finding the Fourth Proportional to 509.49, 766.07 and 469.39

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Solution

The fourth proportional to 509.49, 766.07 and 469.39 is: 705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.49 : 766.07 = 469.39 : x
  2. Step 2: Convert to fraction form
    509.49/766.07 = 469.39/x
  3. Step 3: Cross multiply
    509.49x = 766.07 × 469.39
  4. Step 4: Simplify right side
    509.49x = 359,586.77
  5. Step 5: Solve for x
    x = 359,586.77/509.49
  6. Step 6: Final answer
    x = 705.78

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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.