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Finding the Fourth Proportional to 596.89, 890.47 and 499.99

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Solution

The fourth proportional to 596.89, 890.47 and 499.99 is: 745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.89 : 890.47 = 499.99 : x
  2. Step 2: Convert to fraction form
    596.89/890.47 = 499.99/x
  3. Step 3: Cross multiply
    596.89x = 890.47 × 499.99
  4. Step 4: Simplify right side
    596.89x = 445,226.10
  5. Step 5: Solve for x
    x = 445,226.10/596.89
  6. Step 6: Final answer
    x = 745.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.