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Finding the Fourth Proportional to 593.65, 890.47 and 208.81

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Solution

The fourth proportional to 593.65, 890.47 and 208.81 is: 313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.65 : 890.47 = 208.81 : x
  2. Step 2: Convert to fraction form
    593.65/890.47 = 208.81/x
  3. Step 3: Cross multiply
    593.65x = 890.47 × 208.81
  4. Step 4: Simplify right side
    593.65x = 185,939.04
  5. Step 5: Solve for x
    x = 185,939.04/593.65
  6. Step 6: Final answer
    x = 313.21

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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.