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Finding the Fourth Proportional to 766.91, 1,057.79 and 589.93

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Solution

The fourth proportional to 766.91, 1,057.79 and 589.93 is: 813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.91 : 1,057.79 = 589.93 : x
  2. Step 2: Convert to fraction form
    766.91/1,057.79 = 589.93/x
  3. Step 3: Cross multiply
    766.91x = 1,057.79 × 589.93
  4. Step 4: Simplify right side
    766.91x = 624,020.89
  5. Step 5: Solve for x
    x = 624,020.89/766.91
  6. Step 6: Final answer
    x = 813.68

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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.