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Finding the Fourth Proportional to 432.22, 594.70 and 420.12

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Solution

The fourth proportional to 432.22, 594.70 and 420.12 is: 578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.22 : 594.70 = 420.12 : x
  2. Step 2: Convert to fraction form
    432.22/594.70 = 420.12/x
  3. Step 3: Cross multiply
    432.22x = 594.70 × 420.12
  4. Step 4: Simplify right side
    432.22x = 249,845.36
  5. Step 5: Solve for x
    x = 249,845.36/432.22
  6. Step 6: Final answer
    x = 578.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.