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Finding the Fourth Proportional to 489.63, 674.43 and 342

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Solution

The fourth proportional to 489.63, 674.43 and 342 is: 471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.63 : 674.43 = 342 : x
  2. Step 2: Convert to fraction form
    489.63/674.43 = 342/x
  3. Step 3: Cross multiply
    489.63x = 674.43 × 342
  4. Step 4: Simplify right side
    489.63x = 230,655.06
  5. Step 5: Solve for x
    x = 230,655.06/489.63
  6. Step 6: Final answer
    x = 471.08

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