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Finding the Fourth Proportional to 473.94, 707.46 and 435.42

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Solution

The fourth proportional to 473.94, 707.46 and 435.42 is: 649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.94 : 707.46 = 435.42 : x
  2. Step 2: Convert to fraction form
    473.94/707.46 = 435.42/x
  3. Step 3: Cross multiply
    473.94x = 707.46 × 435.42
  4. Step 4: Simplify right side
    473.94x = 308,042.23
  5. Step 5: Solve for x
    x = 308,042.23/473.94
  6. Step 6: Final answer
    x = 649.96

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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.