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Finding the Fourth Proportional to 462.88, 638.57 and 313.45

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Solution

The fourth proportional to 462.88, 638.57 and 313.45 is: 432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.88 : 638.57 = 313.45 : x
  2. Step 2: Convert to fraction form
    462.88/638.57 = 313.45/x
  3. Step 3: Cross multiply
    462.88x = 638.57 × 313.45
  4. Step 4: Simplify right side
    462.88x = 200,159.00
  5. Step 5: Solve for x
    x = 200,159.00/462.88
  6. Step 6: Final answer
    x = 432.42

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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.