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Finding the Fourth Proportional to 497.60, 685.92 and 342.08

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Solution

The fourth proportional to 497.60, 685.92 and 342.08 is: 471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.60 : 685.92 = 342.08 : x
  2. Step 2: Convert to fraction form
    497.60/685.92 = 342.08/x
  3. Step 3: Cross multiply
    497.60x = 685.92 × 342.08
  4. Step 4: Simplify right side
    497.60x = 234,639.51
  5. Step 5: Solve for x
    x = 234,639.51/497.60
  6. Step 6: Final answer
    x = 471.54

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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.