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Finding the Fourth Proportional to 504.69, 754.01 and 487.68

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Solution

The fourth proportional to 504.69, 754.01 and 487.68 is: 728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.69 : 754.01 = 487.68 : x
  2. Step 2: Convert to fraction form
    504.69/754.01 = 487.68/x
  3. Step 3: Cross multiply
    504.69x = 754.01 × 487.68
  4. Step 4: Simplify right side
    504.69x = 367,713.16
  5. Step 5: Solve for x
    x = 367,713.16/504.69
  6. Step 6: Final answer
    x = 728.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.