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Finding the Fourth Proportional to 430.34, 648.89 and 401.63

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Solution

The fourth proportional to 430.34, 648.89 and 401.63 is: 605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.34 : 648.89 = 401.63 : x
  2. Step 2: Convert to fraction form
    430.34/648.89 = 401.63/x
  3. Step 3: Cross multiply
    430.34x = 648.89 × 401.63
  4. Step 4: Simplify right side
    430.34x = 260,613.69
  5. Step 5: Solve for x
    x = 260,613.69/430.34
  6. Step 6: Final answer
    x = 605.60

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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.