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Finding the Fourth Proportional to 557.51, 765.90 and 499.28

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Solution

The fourth proportional to 557.51, 765.90 and 499.28 is: 685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.51 : 765.90 = 499.28 : x
  2. Step 2: Convert to fraction form
    557.51/765.90 = 499.28/x
  3. Step 3: Cross multiply
    557.51x = 765.90 × 499.28
  4. Step 4: Simplify right side
    557.51x = 382,394.72
  5. Step 5: Solve for x
    x = 382,394.72/557.51
  6. Step 6: Final answer
    x = 685.90

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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.