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Finding the Fourth Proportional to 830.52, 1,147.41 and 764.91

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Solution

The fourth proportional to 830.52, 1,147.41 and 764.91 is: 1,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.52 : 1,147.41 = 764.91 : x
  2. Step 2: Convert to fraction form
    830.52/1,147.41 = 764.91/x
  3. Step 3: Cross multiply
    830.52x = 1,147.41 × 764.91
  4. Step 4: Simplify right side
    830.52x = 877,665.38
  5. Step 5: Solve for x
    x = 877,665.38/830.52
  6. Step 6: Final answer
    x = 1,056.77

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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.