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Finding the Fourth Proportional to 504.74, 756.66 and 180.06

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Solution

The fourth proportional to 504.74, 756.66 and 180.06 is: 269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.74 : 756.66 = 180.06 : x
  2. Step 2: Convert to fraction form
    504.74/756.66 = 180.06/x
  3. Step 3: Cross multiply
    504.74x = 756.66 × 180.06
  4. Step 4: Simplify right side
    504.74x = 136,244.20
  5. Step 5: Solve for x
    x = 136,244.20/504.74
  6. Step 6: Final answer
    x = 269.93

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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.