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Finding the Fourth Proportional to 596.78, 815.90 and 574.10

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Solution

The fourth proportional to 596.78, 815.90 and 574.10 is: 784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.78 : 815.90 = 574.10 : x
  2. Step 2: Convert to fraction form
    596.78/815.90 = 574.10/x
  3. Step 3: Cross multiply
    596.78x = 815.90 × 574.10
  4. Step 4: Simplify right side
    596.78x = 468,408.19
  5. Step 5: Solve for x
    x = 468,408.19/596.78
  6. Step 6: Final answer
    x = 784.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.