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Finding the Fourth Proportional to 504.34, 756.32 and 175.20

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Solution

The fourth proportional to 504.34, 756.32 and 175.20 is: 262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.34 : 756.32 = 175.20 : x
  2. Step 2: Convert to fraction form
    504.34/756.32 = 175.20/x
  3. Step 3: Cross multiply
    504.34x = 756.32 × 175.20
  4. Step 4: Simplify right side
    504.34x = 132,507.26
  5. Step 5: Solve for x
    x = 132,507.26/504.34
  6. Step 6: Final answer
    x = 262.73

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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.