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Finding the Fourth Proportional to 389.65, 580.73 and 386.43

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Solution

The fourth proportional to 389.65, 580.73 and 386.43 is: 575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.65 : 580.73 = 386.43 : x
  2. Step 2: Convert to fraction form
    389.65/580.73 = 386.43/x
  3. Step 3: Cross multiply
    389.65x = 580.73 × 386.43
  4. Step 4: Simplify right side
    389.65x = 224,411.49
  5. Step 5: Solve for x
    x = 224,411.49/389.65
  6. Step 6: Final answer
    x = 575.93

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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.