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Finding the Fourth Proportional to 592.99, 818.28 and 427.50

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Solution

The fourth proportional to 592.99, 818.28 and 427.50 is: 589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.99 : 818.28 = 427.50 : x
  2. Step 2: Convert to fraction form
    592.99/818.28 = 427.50/x
  3. Step 3: Cross multiply
    592.99x = 818.28 × 427.50
  4. Step 4: Simplify right side
    592.99x = 349,814.70
  5. Step 5: Solve for x
    x = 349,814.70/592.99
  6. Step 6: Final answer
    x = 589.92

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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.