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Finding the Fourth Proportional to 592.42, 817.89 and 427.06

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Solution

The fourth proportional to 592.42, 817.89 and 427.06 is: 589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.42 : 817.89 = 427.06 : x
  2. Step 2: Convert to fraction form
    592.42/817.89 = 427.06/x
  3. Step 3: Cross multiply
    592.42x = 817.89 × 427.06
  4. Step 4: Simplify right side
    592.42x = 349,288.10
  5. Step 5: Solve for x
    x = 349,288.10/592.42
  6. Step 6: Final answer
    x = 589.60

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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.