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Finding the Fourth Proportional to 473.42, 705.15 and 443.42

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Solution

The fourth proportional to 473.42, 705.15 and 443.42 is: 660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.42 : 705.15 = 443.42 : x
  2. Step 2: Convert to fraction form
    473.42/705.15 = 443.42/x
  3. Step 3: Cross multiply
    473.42x = 705.15 × 443.42
  4. Step 4: Simplify right side
    473.42x = 312,675.40
  5. Step 5: Solve for x
    x = 312,675.40/473.42
  6. Step 6: Final answer
    x = 660.46

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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.