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Finding the Fourth Proportional to 472.25, 706.95 and 316.93

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Solution

The fourth proportional to 472.25, 706.95 and 316.93 is: 474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.25 : 706.95 = 316.93 : x
  2. Step 2: Convert to fraction form
    472.25/706.95 = 316.93/x
  3. Step 3: Cross multiply
    472.25x = 706.95 × 316.93
  4. Step 4: Simplify right side
    472.25x = 224,053.66
  5. Step 5: Solve for x
    x = 224,053.66/472.25
  6. Step 6: Final answer
    x = 474.44

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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.