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Finding the Fourth Proportional to 764.29, 1,054.91 and 499.39

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Solution

The fourth proportional to 764.29, 1,054.91 and 499.39 is: 689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.29 : 1,054.91 = 499.39 : x
  2. Step 2: Convert to fraction form
    764.29/1,054.91 = 499.39/x
  3. Step 3: Cross multiply
    764.29x = 1,054.91 × 499.39
  4. Step 4: Simplify right side
    764.29x = 526,811.50
  5. Step 5: Solve for x
    x = 526,811.50/764.29
  6. Step 6: Final answer
    x = 689.28

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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.