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Finding the Fourth Proportional to 473.85, 704.70 and 437.40

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Solution

The fourth proportional to 473.85, 704.70 and 437.40 is: 650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.85 : 704.70 = 437.40 : x
  2. Step 2: Convert to fraction form
    473.85/704.70 = 437.40/x
  3. Step 3: Cross multiply
    473.85x = 704.70 × 437.40
  4. Step 4: Simplify right side
    473.85x = 308,235.78
  5. Step 5: Solve for x
    x = 308,235.78/473.85
  6. Step 6: Final answer
    x = 650.49

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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.