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Finding the Fourth Proportional to 943.07, 1,415 and 509.72

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Solution

The fourth proportional to 943.07, 1,415 and 509.72 is: 764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.07 : 1,415 = 509.72 : x
  2. Step 2: Convert to fraction form
    943.07/1,415 = 509.72/x
  3. Step 3: Cross multiply
    943.07x = 1,415 × 509.72
  4. Step 4: Simplify right side
    943.07x = 721,253.80
  5. Step 5: Solve for x
    x = 721,253.80/943.07
  6. Step 6: Final answer
    x = 764.79

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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.