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Finding the Fourth Proportional to 472.77, 705.38 and 458.19

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Solution

The fourth proportional to 472.77, 705.38 and 458.19 is: 683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.77 : 705.38 = 458.19 : x
  2. Step 2: Convert to fraction form
    472.77/705.38 = 458.19/x
  3. Step 3: Cross multiply
    472.77x = 705.38 × 458.19
  4. Step 4: Simplify right side
    472.77x = 323,195.77
  5. Step 5: Solve for x
    x = 323,195.77/472.77
  6. Step 6: Final answer
    x = 683.62

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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.