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Finding the Fourth Proportional to 783.09, 1,174.64 and 458.28

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Solution

The fourth proportional to 783.09, 1,174.64 and 458.28 is: 687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.09 : 1,174.64 = 458.28 : x
  2. Step 2: Convert to fraction form
    783.09/1,174.64 = 458.28/x
  3. Step 3: Cross multiply
    783.09x = 1,174.64 × 458.28
  4. Step 4: Simplify right side
    783.09x = 538,311.73
  5. Step 5: Solve for x
    x = 538,311.73/783.09
  6. Step 6: Final answer
    x = 687.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.