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Finding the Fourth Proportional to 432.30, 644.64 and 410.34

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Solution

The fourth proportional to 432.30, 644.64 and 410.34 is: 611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.30 : 644.64 = 410.34 : x
  2. Step 2: Convert to fraction form
    432.30/644.64 = 410.34/x
  3. Step 3: Cross multiply
    432.30x = 644.64 × 410.34
  4. Step 4: Simplify right side
    432.30x = 264,521.58
  5. Step 5: Solve for x
    x = 264,521.58/432.30
  6. Step 6: Final answer
    x = 611.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.