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Finding the Fourth Proportional to 578.20, 866.14 and 432.36

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Solution

The fourth proportional to 578.20, 866.14 and 432.36 is: 647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.20 : 866.14 = 432.36 : x
  2. Step 2: Convert to fraction form
    578.20/866.14 = 432.36/x
  3. Step 3: Cross multiply
    578.20x = 866.14 × 432.36
  4. Step 4: Simplify right side
    578.20x = 374,484.29
  5. Step 5: Solve for x
    x = 374,484.29/578.20
  6. Step 6: Final answer
    x = 647.67

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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.