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Finding the Fourth Proportional to 504.14, 754.99 and 287.06

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Solution

The fourth proportional to 504.14, 754.99 and 287.06 is: 429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.14 : 754.99 = 287.06 : x
  2. Step 2: Convert to fraction form
    504.14/754.99 = 287.06/x
  3. Step 3: Cross multiply
    504.14x = 754.99 × 287.06
  4. Step 4: Simplify right side
    504.14x = 216,722.94
  5. Step 5: Solve for x
    x = 216,722.94/504.14
  6. Step 6: Final answer
    x = 429.89

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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.