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Finding the Fourth Proportional to 432.83, 594.28 and 421.55

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Solution

The fourth proportional to 432.83, 594.28 and 421.55 is: 578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.83 : 594.28 = 421.55 : x
  2. Step 2: Convert to fraction form
    432.83/594.28 = 421.55/x
  3. Step 3: Cross multiply
    432.83x = 594.28 × 421.55
  4. Step 4: Simplify right side
    432.83x = 250,514.71
  5. Step 5: Solve for x
    x = 250,514.71/432.83
  6. Step 6: Final answer
    x = 578.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.