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Finding the Fourth Proportional to 709.35, 1,065.69 and 417.59

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Solution

The fourth proportional to 709.35, 1,065.69 and 417.59 is: 627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.35 : 1,065.69 = 417.59 : x
  2. Step 2: Convert to fraction form
    709.35/1,065.69 = 417.59/x
  3. Step 3: Cross multiply
    709.35x = 1,065.69 × 417.59
  4. Step 4: Simplify right side
    709.35x = 445,021.49
  5. Step 5: Solve for x
    x = 445,021.49/709.35
  6. Step 6: Final answer
    x = 627.37

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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.