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Finding the Fourth Proportional to 486.74, 671.56 and 312.08

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Solution

The fourth proportional to 486.74, 671.56 and 312.08 is: 430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.74 : 671.56 = 312.08 : x
  2. Step 2: Convert to fraction form
    486.74/671.56 = 312.08/x
  3. Step 3: Cross multiply
    486.74x = 671.56 × 312.08
  4. Step 4: Simplify right side
    486.74x = 209,580.44
  5. Step 5: Solve for x
    x = 209,580.44/486.74
  6. Step 6: Final answer
    x = 430.58

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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.