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Finding the Fourth Proportional to 432.91, 651.73 and 394.65

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Solution

The fourth proportional to 432.91, 651.73 and 394.65 is: 594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.91 : 651.73 = 394.65 : x
  2. Step 2: Convert to fraction form
    432.91/651.73 = 394.65/x
  3. Step 3: Cross multiply
    432.91x = 651.73 × 394.65
  4. Step 4: Simplify right side
    432.91x = 257,205.24
  5. Step 5: Solve for x
    x = 257,205.24/432.91
  6. Step 6: Final answer
    x = 594.13

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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.