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Finding the Fourth Proportional to 631.56, 949.47 and 503.17

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Solution

The fourth proportional to 631.56, 949.47 and 503.17 is: 756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.56 : 949.47 = 503.17 : x
  2. Step 2: Convert to fraction form
    631.56/949.47 = 503.17/x
  3. Step 3: Cross multiply
    631.56x = 949.47 × 503.17
  4. Step 4: Simplify right side
    631.56x = 477,744.82
  5. Step 5: Solve for x
    x = 477,744.82/631.56
  6. Step 6: Final answer
    x = 756.46

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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.