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Finding the Fourth Proportional to 764.92, 1,141.83 and 707.81

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Solution

The fourth proportional to 764.92, 1,141.83 and 707.81 is: 1,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.92 : 1,141.83 = 707.81 : x
  2. Step 2: Convert to fraction form
    764.92/1,141.83 = 707.81/x
  3. Step 3: Cross multiply
    764.92x = 1,141.83 × 707.81
  4. Step 4: Simplify right side
    764.92x = 808,205.60
  5. Step 5: Solve for x
    x = 808,205.60/764.92
  6. Step 6: Final answer
    x = 1,056.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.