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Finding the Fourth Proportional to 503.97, 756.77 and 312.81

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Solution

The fourth proportional to 503.97, 756.77 and 312.81 is: 469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.97 : 756.77 = 312.81 : x
  2. Step 2: Convert to fraction form
    503.97/756.77 = 312.81/x
  3. Step 3: Cross multiply
    503.97x = 756.77 × 312.81
  4. Step 4: Simplify right side
    503.97x = 236,723.66
  5. Step 5: Solve for x
    x = 236,723.66/503.97
  6. Step 6: Final answer
    x = 469.72

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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.