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Finding the Fourth Proportional to 472.61, 705.73 and 386.12

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Solution

The fourth proportional to 472.61, 705.73 and 386.12 is: 576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.61 : 705.73 = 386.12 : x
  2. Step 2: Convert to fraction form
    472.61/705.73 = 386.12/x
  3. Step 3: Cross multiply
    472.61x = 705.73 × 386.12
  4. Step 4: Simplify right side
    472.61x = 272,493.42
  5. Step 5: Solve for x
    x = 272,493.42/472.61
  6. Step 6: Final answer
    x = 576.57

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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.