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Finding the Fourth Proportional to 472.84, 705.17 and 431.83

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Solution

The fourth proportional to 472.84, 705.17 and 431.83 is: 644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.84 : 705.17 = 431.83 : x
  2. Step 2: Convert to fraction form
    472.84/705.17 = 431.83/x
  3. Step 3: Cross multiply
    472.84x = 705.17 × 431.83
  4. Step 4: Simplify right side
    472.84x = 304,515.52
  5. Step 5: Solve for x
    x = 304,515.52/472.84
  6. Step 6: Final answer
    x = 644.02

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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.