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Finding the Fourth Proportional to 431.10, 648.98 and 392.83

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Solution

The fourth proportional to 431.10, 648.98 and 392.83 is: 591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.10 : 648.98 = 392.83 : x
  2. Step 2: Convert to fraction form
    431.10/648.98 = 392.83/x
  3. Step 3: Cross multiply
    431.10x = 648.98 × 392.83
  4. Step 4: Simplify right side
    431.10x = 254,935.23
  5. Step 5: Solve for x
    x = 254,935.23/431.10
  6. Step 6: Final answer
    x = 591.36

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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.