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Finding the Fourth Proportional to 432.54, 651.85 and 405.20

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Solution

The fourth proportional to 432.54, 651.85 and 405.20 is: 610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.54 : 651.85 = 405.20 : x
  2. Step 2: Convert to fraction form
    432.54/651.85 = 405.20/x
  3. Step 3: Cross multiply
    432.54x = 651.85 × 405.20
  4. Step 4: Simplify right side
    432.54x = 264,130.24
  5. Step 5: Solve for x
    x = 264,130.24/432.54
  6. Step 6: Final answer
    x = 610.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.