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Finding the Fourth Proportional to 472.36, 707.90 and 356.71

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Solution

The fourth proportional to 472.36, 707.90 and 356.71 is: 534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.36 : 707.90 = 356.71 : x
  2. Step 2: Convert to fraction form
    472.36/707.90 = 356.71/x
  3. Step 3: Cross multiply
    472.36x = 707.90 × 356.71
  4. Step 4: Simplify right side
    472.36x = 252,515.01
  5. Step 5: Solve for x
    x = 252,515.01/472.36
  6. Step 6: Final answer
    x = 534.58

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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.