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Finding the Fourth Proportional to 430.73, 648.64 and 387.90

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Solution

The fourth proportional to 430.73, 648.64 and 387.90 is: 584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.73 : 648.64 = 387.90 : x
  2. Step 2: Convert to fraction form
    430.73/648.64 = 387.90/x
  3. Step 3: Cross multiply
    430.73x = 648.64 × 387.90
  4. Step 4: Simplify right side
    430.73x = 251,607.94
  5. Step 5: Solve for x
    x = 251,607.94/430.73
  6. Step 6: Final answer
    x = 584.14

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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.