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Finding the Fourth Proportional to 596.67, 822.57 and 419.40

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Solution

The fourth proportional to 596.67, 822.57 and 419.40 is: 578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.67 : 822.57 = 419.40 : x
  2. Step 2: Convert to fraction form
    596.67/822.57 = 419.40/x
  3. Step 3: Cross multiply
    596.67x = 822.57 × 419.40
  4. Step 4: Simplify right side
    596.67x = 344,985.86
  5. Step 5: Solve for x
    x = 344,985.86/596.67
  6. Step 6: Final answer
    x = 578.19

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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.