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Finding the Fourth Proportional to 431.43, 648.36 and 420.50

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Solution

The fourth proportional to 431.43, 648.36 and 420.50 is: 631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.43 : 648.36 = 420.50 : x
  2. Step 2: Convert to fraction form
    431.43/648.36 = 420.50/x
  3. Step 3: Cross multiply
    431.43x = 648.36 × 420.50
  4. Step 4: Simplify right side
    431.43x = 272,632.14
  5. Step 5: Solve for x
    x = 272,632.14/431.43
  6. Step 6: Final answer
    x = 631.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.