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Finding the Fourth Proportional to 590, 814.20 and 383

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Solution

The fourth proportional to 590, 814.20 and 383 is: 528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 814.20 = 383 : x
  2. Step 2: Convert to fraction form
    590/814.20 = 383/x
  3. Step 3: Cross multiply
    590x = 814.20 × 383
  4. Step 4: Simplify right side
    590x = 311,838.60
  5. Step 5: Solve for x
    x = 311,838.60/590
  6. Step 6: Final answer
    x = 528.54

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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.