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Finding the Fourth Proportional to 761.12, 1,142 and 322.48

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Solution

The fourth proportional to 761.12, 1,142 and 322.48 is: 483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.12 : 1,142 = 322.48 : x
  2. Step 2: Convert to fraction form
    761.12/1,142 = 322.48/x
  3. Step 3: Cross multiply
    761.12x = 1,142 × 322.48
  4. Step 4: Simplify right side
    761.12x = 368,272.16
  5. Step 5: Solve for x
    x = 368,272.16/761.12
  6. Step 6: Final answer
    x = 483.86

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