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Finding the Fourth Proportional to 504.71, 757.13 and 180.08

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Solution

The fourth proportional to 504.71, 757.13 and 180.08 is: 270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.71 : 757.13 = 180.08 : x
  2. Step 2: Convert to fraction form
    504.71/757.13 = 180.08/x
  3. Step 3: Cross multiply
    504.71x = 757.13 × 180.08
  4. Step 4: Simplify right side
    504.71x = 136,339.28
  5. Step 5: Solve for x
    x = 136,339.28/504.71
  6. Step 6: Final answer
    x = 270.14

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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.