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Finding the Fourth Proportional to 473.94, 706.97 and 440.53

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Solution

The fourth proportional to 473.94, 706.97 and 440.53 is: 657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.94 : 706.97 = 440.53 : x
  2. Step 2: Convert to fraction form
    473.94/706.97 = 440.53/x
  3. Step 3: Cross multiply
    473.94x = 706.97 × 440.53
  4. Step 4: Simplify right side
    473.94x = 311,440.83
  5. Step 5: Solve for x
    x = 311,440.83/473.94
  6. Step 6: Final answer
    x = 657.13

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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.