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Finding the Fourth Proportional to 709.82, 1,064.68 and 435.94

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Solution

The fourth proportional to 709.82, 1,064.68 and 435.94 is: 653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.82 : 1,064.68 = 435.94 : x
  2. Step 2: Convert to fraction form
    709.82/1,064.68 = 435.94/x
  3. Step 3: Cross multiply
    709.82x = 1,064.68 × 435.94
  4. Step 4: Simplify right side
    709.82x = 464,136.60
  5. Step 5: Solve for x
    x = 464,136.60/709.82
  6. Step 6: Final answer
    x = 653.88

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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.