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Finding the Fourth Proportional to 593.98, 890.57 and 209.02

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Solution

The fourth proportional to 593.98, 890.57 and 209.02 is: 313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.98 : 890.57 = 209.02 : x
  2. Step 2: Convert to fraction form
    593.98/890.57 = 209.02/x
  3. Step 3: Cross multiply
    593.98x = 890.57 × 209.02
  4. Step 4: Simplify right side
    593.98x = 186,146.94
  5. Step 5: Solve for x
    x = 186,146.94/593.98
  6. Step 6: Final answer
    x = 313.39

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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.