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Finding the Fourth Proportional to 764.29, 1,053.61 and 564.83

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Solution

The fourth proportional to 764.29, 1,053.61 and 564.83 is: 778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.29 : 1,053.61 = 564.83 : x
  2. Step 2: Convert to fraction form
    764.29/1,053.61 = 564.83/x
  3. Step 3: Cross multiply
    764.29x = 1,053.61 × 564.83
  4. Step 4: Simplify right side
    764.29x = 595,103.86
  5. Step 5: Solve for x
    x = 595,103.86/764.29
  6. Step 6: Final answer
    x = 778.64

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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.