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Finding the Fourth Proportional to 504.38, 756.80 and 456.08

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Solution

The fourth proportional to 504.38, 756.80 and 456.08 is: 684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.38 : 756.80 = 456.08 : x
  2. Step 2: Convert to fraction form
    504.38/756.80 = 456.08/x
  3. Step 3: Cross multiply
    504.38x = 756.80 × 456.08
  4. Step 4: Simplify right side
    504.38x = 345,161.34
  5. Step 5: Solve for x
    x = 345,161.34/504.38
  6. Step 6: Final answer
    x = 684.33

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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.