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Finding the Fourth Proportional to 594.28, 820.69 and 490.40

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Solution

The fourth proportional to 594.28, 820.69 and 490.40 is: 677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.28 : 820.69 = 490.40 : x
  2. Step 2: Convert to fraction form
    594.28/820.69 = 490.40/x
  3. Step 3: Cross multiply
    594.28x = 820.69 × 490.40
  4. Step 4: Simplify right side
    594.28x = 402,466.38
  5. Step 5: Solve for x
    x = 402,466.38/594.28
  6. Step 6: Final answer
    x = 677.23

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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.