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Finding the Fourth Proportional to 761.12, 1,141.87 and 414.36

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Solution

The fourth proportional to 761.12, 1,141.87 and 414.36 is: 621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.12 : 1,141.87 = 414.36 : x
  2. Step 2: Convert to fraction form
    761.12/1,141.87 = 414.36/x
  3. Step 3: Cross multiply
    761.12x = 1,141.87 × 414.36
  4. Step 4: Simplify right side
    761.12x = 473,145.25
  5. Step 5: Solve for x
    x = 473,145.25/761.12
  6. Step 6: Final answer
    x = 621.64

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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.