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Finding the Fourth Proportional to 504.09, 755.58 and 287.19

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Solution

The fourth proportional to 504.09, 755.58 and 287.19 is: 430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.09 : 755.58 = 287.19 : x
  2. Step 2: Convert to fraction form
    504.09/755.58 = 287.19/x
  3. Step 3: Cross multiply
    504.09x = 755.58 × 287.19
  4. Step 4: Simplify right side
    504.09x = 216,995.02
  5. Step 5: Solve for x
    x = 216,995.02/504.09
  6. Step 6: Final answer
    x = 430.47

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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.