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Finding the Fourth Proportional to 592.81, 890.98 and 490.75

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Solution

The fourth proportional to 592.81, 890.98 and 490.75 is: 737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.81 : 890.98 = 490.75 : x
  2. Step 2: Convert to fraction form
    592.81/890.98 = 490.75/x
  3. Step 3: Cross multiply
    592.81x = 890.98 × 490.75
  4. Step 4: Simplify right side
    592.81x = 437,248.44
  5. Step 5: Solve for x
    x = 437,248.44/592.81
  6. Step 6: Final answer
    x = 737.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.