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Finding the Fourth Proportional to 761.22, 1,050.49 and 411.91

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Solution

The fourth proportional to 761.22, 1,050.49 and 411.91 is: 568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.22 : 1,050.49 = 411.91 : x
  2. Step 2: Convert to fraction form
    761.22/1,050.49 = 411.91/x
  3. Step 3: Cross multiply
    761.22x = 1,050.49 × 411.91
  4. Step 4: Simplify right side
    761.22x = 432,700.02
  5. Step 5: Solve for x
    x = 432,700.02/761.22
  6. Step 6: Final answer
    x = 568.43

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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.