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Finding the Fourth Proportional to 578.86, 869.90 and 436.30

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Solution

The fourth proportional to 578.86, 869.90 and 436.30 is: 655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.86 : 869.90 = 436.30 : x
  2. Step 2: Convert to fraction form
    578.86/869.90 = 436.30/x
  3. Step 3: Cross multiply
    578.86x = 869.90 × 436.30
  4. Step 4: Simplify right side
    578.86x = 379,537.37
  5. Step 5: Solve for x
    x = 379,537.37/578.86
  6. Step 6: Final answer
    x = 655.66

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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.