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Finding the Fourth Proportional to 504.15, 755.75 and 287.31

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Solution

The fourth proportional to 504.15, 755.75 and 287.31 is: 430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.15 : 755.75 = 287.31 : x
  2. Step 2: Convert to fraction form
    504.15/755.75 = 287.31/x
  3. Step 3: Cross multiply
    504.15x = 755.75 × 287.31
  4. Step 4: Simplify right side
    504.15x = 217,133.10
  5. Step 5: Solve for x
    x = 217,133.10/504.15
  6. Step 6: Final answer
    x = 430.69

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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.