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Finding the Fourth Proportional to 761.29, 1,141.73 and 390.85

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Solution

The fourth proportional to 761.29, 1,141.73 and 390.85 is: 586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.29 : 1,141.73 = 390.85 : x
  2. Step 2: Convert to fraction form
    761.29/1,141.73 = 390.85/x
  3. Step 3: Cross multiply
    761.29x = 1,141.73 × 390.85
  4. Step 4: Simplify right side
    761.29x = 446,240.36
  5. Step 5: Solve for x
    x = 446,240.36/761.29
  6. Step 6: Final answer
    x = 586.17

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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.