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Finding the Fourth Proportional to 430.23, 648.05 and 424.56

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Solution

The fourth proportional to 430.23, 648.05 and 424.56 is: 639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.23 : 648.05 = 424.56 : x
  2. Step 2: Convert to fraction form
    430.23/648.05 = 424.56/x
  3. Step 3: Cross multiply
    430.23x = 648.05 × 424.56
  4. Step 4: Simplify right side
    430.23x = 275,137.17
  5. Step 5: Solve for x
    x = 275,137.17/430.23
  6. Step 6: Final answer
    x = 639.51

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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.