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Finding the Fourth Proportional to 557.58, 765.34 and 494.02

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Solution

The fourth proportional to 557.58, 765.34 and 494.02 is: 678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.58 : 765.34 = 494.02 : x
  2. Step 2: Convert to fraction form
    557.58/765.34 = 494.02/x
  3. Step 3: Cross multiply
    557.58x = 765.34 × 494.02
  4. Step 4: Simplify right side
    557.58x = 378,093.27
  5. Step 5: Solve for x
    x = 378,093.27/557.58
  6. Step 6: Final answer
    x = 678.10

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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.