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Finding the Fourth Proportional to 594.68, 820.50 and 361.40

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Solution

The fourth proportional to 594.68, 820.50 and 361.40 is: 498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.68 : 820.50 = 361.40 : x
  2. Step 2: Convert to fraction form
    594.68/820.50 = 361.40/x
  3. Step 3: Cross multiply
    594.68x = 820.50 × 361.40
  4. Step 4: Simplify right side
    594.68x = 296,528.70
  5. Step 5: Solve for x
    x = 296,528.70/594.68
  6. Step 6: Final answer
    x = 498.64

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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.