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Finding the Fourth Proportional to 573.28, 790.92 and 340.40

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Solution

The fourth proportional to 573.28, 790.92 and 340.40 is: 469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.28 : 790.92 = 340.40 : x
  2. Step 2: Convert to fraction form
    573.28/790.92 = 340.40/x
  3. Step 3: Cross multiply
    573.28x = 790.92 × 340.40
  4. Step 4: Simplify right side
    573.28x = 269,229.17
  5. Step 5: Solve for x
    x = 269,229.17/573.28
  6. Step 6: Final answer
    x = 469.63

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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.