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Finding the Fourth Proportional to 709.67, 1,064.51 and 401.54

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Solution

The fourth proportional to 709.67, 1,064.51 and 401.54 is: 602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.67 : 1,064.51 = 401.54 : x
  2. Step 2: Convert to fraction form
    709.67/1,064.51 = 401.54/x
  3. Step 3: Cross multiply
    709.67x = 1,064.51 × 401.54
  4. Step 4: Simplify right side
    709.67x = 427,447.01
  5. Step 5: Solve for x
    x = 427,447.01/709.67
  6. Step 6: Final answer
    x = 602.32

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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.