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Finding the Fourth Proportional to 592.32, 821.12 and 580.40

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Solution

The fourth proportional to 592.32, 821.12 and 580.40 is: 804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.32 : 821.12 = 580.40 : x
  2. Step 2: Convert to fraction form
    592.32/821.12 = 580.40/x
  3. Step 3: Cross multiply
    592.32x = 821.12 × 580.40
  4. Step 4: Simplify right side
    592.32x = 476,578.05
  5. Step 5: Solve for x
    x = 476,578.05/592.32
  6. Step 6: Final answer
    x = 804.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.