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Finding the Fourth Proportional to 472.98, 652.94 and 315.70

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Solution

The fourth proportional to 472.98, 652.94 and 315.70 is: 435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.98 : 652.94 = 315.70 : x
  2. Step 2: Convert to fraction form
    472.98/652.94 = 315.70/x
  3. Step 3: Cross multiply
    472.98x = 652.94 × 315.70
  4. Step 4: Simplify right side
    472.98x = 206,131.58
  5. Step 5: Solve for x
    x = 206,131.58/472.98
  6. Step 6: Final answer
    x = 435.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.