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Finding the Fourth Proportional to 421.24, 628.66 and 410.30

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Solution

The fourth proportional to 421.24, 628.66 and 410.30 is: 612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.24 : 628.66 = 410.30 : x
  2. Step 2: Convert to fraction form
    421.24/628.66 = 410.30/x
  3. Step 3: Cross multiply
    421.24x = 628.66 × 410.30
  4. Step 4: Simplify right side
    421.24x = 257,939.20
  5. Step 5: Solve for x
    x = 257,939.20/421.24
  6. Step 6: Final answer
    x = 612.34

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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.