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Finding the Fourth Proportional to 761.21, 1,141.93 and 322.46

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Solution

The fourth proportional to 761.21, 1,141.93 and 322.46 is: 483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.21 : 1,141.93 = 322.46 : x
  2. Step 2: Convert to fraction form
    761.21/1,141.93 = 322.46/x
  3. Step 3: Cross multiply
    761.21x = 1,141.93 × 322.46
  4. Step 4: Simplify right side
    761.21x = 368,222.07
  5. Step 5: Solve for x
    x = 368,222.07/761.21
  6. Step 6: Final answer
    x = 483.74

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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.