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Finding the Fourth Proportional to 504.27, 757.26 and 478.29

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Solution

The fourth proportional to 504.27, 757.26 and 478.29 is: 718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.27 : 757.26 = 478.29 : x
  2. Step 2: Convert to fraction form
    504.27/757.26 = 478.29/x
  3. Step 3: Cross multiply
    504.27x = 757.26 × 478.29
  4. Step 4: Simplify right side
    504.27x = 362,189.89
  5. Step 5: Solve for x
    x = 362,189.89/504.27
  6. Step 6: Final answer
    x = 718.25

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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.