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Finding the Fourth Proportional to 594.19, 820.28 and 407.75

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Solution

The fourth proportional to 594.19, 820.28 and 407.75 is: 562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.19 : 820.28 = 407.75 : x
  2. Step 2: Convert to fraction form
    594.19/820.28 = 407.75/x
  3. Step 3: Cross multiply
    594.19x = 820.28 × 407.75
  4. Step 4: Simplify right side
    594.19x = 334,469.17
  5. Step 5: Solve for x
    x = 334,469.17/594.19
  6. Step 6: Final answer
    x = 562.90

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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.