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Finding the Fourth Proportional to 474.98, 711.55 and 312.17

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Solution

The fourth proportional to 474.98, 711.55 and 312.17 is: 467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.98 : 711.55 = 312.17 : x
  2. Step 2: Convert to fraction form
    474.98/711.55 = 312.17/x
  3. Step 3: Cross multiply
    474.98x = 711.55 × 312.17
  4. Step 4: Simplify right side
    474.98x = 222,124.56
  5. Step 5: Solve for x
    x = 222,124.56/474.98
  6. Step 6: Final answer
    x = 467.65

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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.