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Finding the Fourth Proportional to 709.57, 1,064.32 and 401.42

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Solution

The fourth proportional to 709.57, 1,064.32 and 401.42 is: 602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.57 : 1,064.32 = 401.42 : x
  2. Step 2: Convert to fraction form
    709.57/1,064.32 = 401.42/x
  3. Step 3: Cross multiply
    709.57x = 1,064.32 × 401.42
  4. Step 4: Simplify right side
    709.57x = 427,240.99
  5. Step 5: Solve for x
    x = 427,240.99/709.57
  6. Step 6: Final answer
    x = 602.11

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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.