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Finding the Fourth Proportional to 504.73, 757.14 and 180.10

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Solution

The fourth proportional to 504.73, 757.14 and 180.10 is: 270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.73 : 757.14 = 180.10 : x
  2. Step 2: Convert to fraction form
    504.73/757.14 = 180.10/x
  3. Step 3: Cross multiply
    504.73x = 757.14 × 180.10
  4. Step 4: Simplify right side
    504.73x = 136,360.91
  5. Step 5: Solve for x
    x = 136,360.91/504.73
  6. Step 6: Final answer
    x = 270.17

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Double scale
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Similar ratio
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1.5x scale

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.