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Finding the Fourth Proportional to 608.54, 840.10 and 431.88

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Solution

The fourth proportional to 608.54, 840.10 and 431.88 is: 596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.54 : 840.10 = 431.88 : x
  2. Step 2: Convert to fraction form
    608.54/840.10 = 431.88/x
  3. Step 3: Cross multiply
    608.54x = 840.10 × 431.88
  4. Step 4: Simplify right side
    608.54x = 362,822.39
  5. Step 5: Solve for x
    x = 362,822.39/608.54
  6. Step 6: Final answer
    x = 596.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.