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Finding the Fourth Proportional to 761.51, 1,142.08 and 213.77

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Solution

The fourth proportional to 761.51, 1,142.08 and 213.77 is: 320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.51 : 1,142.08 = 213.77 : x
  2. Step 2: Convert to fraction form
    761.51/1,142.08 = 213.77/x
  3. Step 3: Cross multiply
    761.51x = 1,142.08 × 213.77
  4. Step 4: Simplify right side
    761.51x = 244,142.44
  5. Step 5: Solve for x
    x = 244,142.44/761.51
  6. Step 6: Final answer
    x = 320.60

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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.