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Finding the Fourth Proportional to 386.47, 572.89 and 380.35

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Solution

The fourth proportional to 386.47, 572.89 and 380.35 is: 563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.47 : 572.89 = 380.35 : x
  2. Step 2: Convert to fraction form
    386.47/572.89 = 380.35/x
  3. Step 3: Cross multiply
    386.47x = 572.89 × 380.35
  4. Step 4: Simplify right side
    386.47x = 217,898.71
  5. Step 5: Solve for x
    x = 217,898.71/386.47
  6. Step 6: Final answer
    x = 563.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.