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Finding the Fourth Proportional to 472.84, 709.48 and 364.72

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Solution

The fourth proportional to 472.84, 709.48 and 364.72 is: 547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.84 : 709.48 = 364.72 : x
  2. Step 2: Convert to fraction form
    472.84/709.48 = 364.72/x
  3. Step 3: Cross multiply
    472.84x = 709.48 × 364.72
  4. Step 4: Simplify right side
    472.84x = 258,761.55
  5. Step 5: Solve for x
    x = 258,761.55/472.84
  6. Step 6: Final answer
    x = 547.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.