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Finding the Fourth Proportional to 469.80, 703.77 and 305.03

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Solution

The fourth proportional to 469.80, 703.77 and 305.03 is: 456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.80 : 703.77 = 305.03 : x
  2. Step 2: Convert to fraction form
    469.80/703.77 = 305.03/x
  3. Step 3: Cross multiply
    469.80x = 703.77 × 305.03
  4. Step 4: Simplify right side
    469.80x = 214,667.44
  5. Step 5: Solve for x
    x = 214,667.44/469.80
  6. Step 6: Final answer
    x = 456.93

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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.