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Finding the Fourth Proportional to 472.18, 705.14 and 467.11

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Solution

The fourth proportional to 472.18, 705.14 and 467.11 is: 697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.18 : 705.14 = 467.11 : x
  2. Step 2: Convert to fraction form
    472.18/705.14 = 467.11/x
  3. Step 3: Cross multiply
    472.18x = 705.14 × 467.11
  4. Step 4: Simplify right side
    472.18x = 329,377.95
  5. Step 5: Solve for x
    x = 329,377.95/472.18
  6. Step 6: Final answer
    x = 697.57

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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.