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Finding the Fourth Proportional to 709.22, 1,064.02 and 384.50

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Solution

The fourth proportional to 709.22, 1,064.02 and 384.50 is: 576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.22 : 1,064.02 = 384.50 : x
  2. Step 2: Convert to fraction form
    709.22/1,064.02 = 384.50/x
  3. Step 3: Cross multiply
    709.22x = 1,064.02 × 384.50
  4. Step 4: Simplify right side
    709.22x = 409,115.69
  5. Step 5: Solve for x
    x = 409,115.69/709.22
  6. Step 6: Final answer
    x = 576.85

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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.