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Finding the Fourth Proportional to 761.69, 1,142.54 and 322.82

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Solution

The fourth proportional to 761.69, 1,142.54 and 322.82 is: 484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.69 : 1,142.54 = 322.82 : x
  2. Step 2: Convert to fraction form
    761.69/1,142.54 = 322.82/x
  3. Step 3: Cross multiply
    761.69x = 1,142.54 × 322.82
  4. Step 4: Simplify right side
    761.69x = 368,827.44
  5. Step 5: Solve for x
    x = 368,827.44/761.69
  6. Step 6: Final answer
    x = 484.23

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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.