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Finding the Fourth Proportional to 709.57, 1,064.66 and 362.72

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Solution

The fourth proportional to 709.57, 1,064.66 and 362.72 is: 544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.57 : 1,064.66 = 362.72 : x
  2. Step 2: Convert to fraction form
    709.57/1,064.66 = 362.72/x
  3. Step 3: Cross multiply
    709.57x = 1,064.66 × 362.72
  4. Step 4: Simplify right side
    709.57x = 386,169.06
  5. Step 5: Solve for x
    x = 386,169.06/709.57
  6. Step 6: Final answer
    x = 544.23

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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.