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Finding the Fourth Proportional to 504.24, 756.38 and 157.63

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Solution

The fourth proportional to 504.24, 756.38 and 157.63 is: 236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.24 : 756.38 = 157.63 : x
  2. Step 2: Convert to fraction form
    504.24/756.38 = 157.63/x
  3. Step 3: Cross multiply
    504.24x = 756.38 × 157.63
  4. Step 4: Simplify right side
    504.24x = 119,228.18
  5. Step 5: Solve for x
    x = 119,228.18/504.24
  6. Step 6: Final answer
    x = 236.45

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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.