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Finding the Fourth Proportional to 473.36, 711.68 and 437.68

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Solution

The fourth proportional to 473.36, 711.68 and 437.68 is: 658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.36 : 711.68 = 437.68 : x
  2. Step 2: Convert to fraction form
    473.36/711.68 = 437.68/x
  3. Step 3: Cross multiply
    473.36x = 711.68 × 437.68
  4. Step 4: Simplify right side
    473.36x = 311,488.10
  5. Step 5: Solve for x
    x = 311,488.10/473.36
  6. Step 6: Final answer
    x = 658.04

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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.