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Finding the Fourth Proportional to 504.56, 757.56 and 312.32

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Solution

The fourth proportional to 504.56, 757.56 and 312.32 is: 468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.56 : 757.56 = 312.32 : x
  2. Step 2: Convert to fraction form
    504.56/757.56 = 312.32/x
  3. Step 3: Cross multiply
    504.56x = 757.56 × 312.32
  4. Step 4: Simplify right side
    504.56x = 236,601.14
  5. Step 5: Solve for x
    x = 236,601.14/504.56
  6. Step 6: Final answer
    x = 468.93

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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.