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Finding the Fourth Proportional to 503.19, 756.47 and 412.56

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Solution

The fourth proportional to 503.19, 756.47 and 412.56 is: 620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.19 : 756.47 = 412.56 : x
  2. Step 2: Convert to fraction form
    503.19/756.47 = 412.56/x
  3. Step 3: Cross multiply
    503.19x = 756.47 × 412.56
  4. Step 4: Simplify right side
    503.19x = 312,087.20
  5. Step 5: Solve for x
    x = 312,087.20/503.19
  6. Step 6: Final answer
    x = 620.22

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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.