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Finding the Fourth Proportional to 594.32, 821.68 and 521.40

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Solution

The fourth proportional to 594.32, 821.68 and 521.40 is: 720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.32 : 821.68 = 521.40 : x
  2. Step 2: Convert to fraction form
    594.32/821.68 = 521.40/x
  3. Step 3: Cross multiply
    594.32x = 821.68 × 521.40
  4. Step 4: Simplify right side
    594.32x = 428,423.95
  5. Step 5: Solve for x
    x = 428,423.95/594.32
  6. Step 6: Final answer
    x = 720.86

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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.