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Finding the Fourth Proportional to 504.97, 758.27 and 313.81

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Solution

The fourth proportional to 504.97, 758.27 and 313.81 is: 471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.97 : 758.27 = 313.81 : x
  2. Step 2: Convert to fraction form
    504.97/758.27 = 313.81/x
  3. Step 3: Cross multiply
    504.97x = 758.27 × 313.81
  4. Step 4: Simplify right side
    504.97x = 237,952.71
  5. Step 5: Solve for x
    x = 237,952.71/504.97
  6. Step 6: Final answer
    x = 471.22

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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.