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Finding the Fourth Proportional to 432.72, 594.25 and 370.55

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Solution

The fourth proportional to 432.72, 594.25 and 370.55 is: 508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.72 : 594.25 = 370.55 : x
  2. Step 2: Convert to fraction form
    432.72/594.25 = 370.55/x
  3. Step 3: Cross multiply
    432.72x = 594.25 × 370.55
  4. Step 4: Simplify right side
    432.72x = 220,199.34
  5. Step 5: Solve for x
    x = 220,199.34/432.72
  6. Step 6: Final answer
    x = 508.87

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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.