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Finding the Fourth Proportional to 592.87, 818.25 and 427.63

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Solution

The fourth proportional to 592.87, 818.25 and 427.63 is: 590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.87 : 818.25 = 427.63 : x
  2. Step 2: Convert to fraction form
    592.87/818.25 = 427.63/x
  3. Step 3: Cross multiply
    592.87x = 818.25 × 427.63
  4. Step 4: Simplify right side
    592.87x = 349,907.67
  5. Step 5: Solve for x
    x = 349,907.67/592.87
  6. Step 6: Final answer
    x = 590.19

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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.