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Finding the Fourth Proportional to 488.93, 675.24 and 314.38

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Solution

The fourth proportional to 488.93, 675.24 and 314.38 is: 434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.93 : 675.24 = 314.38 : x
  2. Step 2: Convert to fraction form
    488.93/675.24 = 314.38/x
  3. Step 3: Cross multiply
    488.93x = 675.24 × 314.38
  4. Step 4: Simplify right side
    488.93x = 212,278.58
  5. Step 5: Solve for x
    x = 212,278.58/488.93
  6. Step 6: Final answer
    x = 434.17

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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.