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Finding the Fourth Proportional to 709.05, 1,064.25 and 435.68

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Solution

The fourth proportional to 709.05, 1,064.25 and 435.68 is: 653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.05 : 1,064.25 = 435.68 : x
  2. Step 2: Convert to fraction form
    709.05/1,064.25 = 435.68/x
  3. Step 3: Cross multiply
    709.05x = 1,064.25 × 435.68
  4. Step 4: Simplify right side
    709.05x = 463,667.12
  5. Step 5: Solve for x
    x = 463,667.12/709.05
  6. Step 6: Final answer
    x = 653.93

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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.