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Finding the Fourth Proportional to 482.32, 670.22 and 477.31

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Solution

The fourth proportional to 482.32, 670.22 and 477.31 is: 663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.32 : 670.22 = 477.31 : x
  2. Step 2: Convert to fraction form
    482.32/670.22 = 477.31/x
  3. Step 3: Cross multiply
    482.32x = 670.22 × 477.31
  4. Step 4: Simplify right side
    482.32x = 319,902.71
  5. Step 5: Solve for x
    x = 319,902.71/482.32
  6. Step 6: Final answer
    x = 663.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.