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Finding the Fourth Proportional to 829.98, 1,142.64 and 774.83

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Solution

The fourth proportional to 829.98, 1,142.64 and 774.83 is: 1,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.98 : 1,142.64 = 774.83 : x
  2. Step 2: Convert to fraction form
    829.98/1,142.64 = 774.83/x
  3. Step 3: Cross multiply
    829.98x = 1,142.64 × 774.83
  4. Step 4: Simplify right side
    829.98x = 885,354.61
  5. Step 5: Solve for x
    x = 885,354.61/829.98
  6. Step 6: Final answer
    x = 1,066.72

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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.